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Standing bell
Standing bell
from Wikipedia

Rin being struck at Kiyomizu-dera, Kyoto

A standing bell or resting bell is an inverted bell, supported from below with the rim uppermost. Such bells are normally bowl-shaped, and exist in a wide range of sizes, from a few centimetres to a metre in diameter. They are often played by striking, but some—known as singing bowls—may also be played by rotating a suede covered mallet around the outside rim to produce a sustained musical note.

Struck bowls are used in some Buddhist religious practices to accompany periods of meditation and chanting. Struck and singing bowls are widely used for music making, meditation and relaxation, as well for personal spirituality. They have become popular with music therapists, sound healers and yoga practitioners.

Standing bells originated in China. An early form called nao took the shape of a stemmed goblet, mounted with rim uppermost, and struck on the outside with a mallet. The manufacture and use of bowls specifically for 'singing' is believed to be a modern phenomenon. Bowls that were capable of singing began to be imported to the West from around the early 1970s. Since then they have become a popular instrument in the US-originating new-age genre often marketed as 'Tibetan music'.

Nomenclature

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Standing bells are known by a wide variety of terms in English, and are sometimes referred to as bowls, basins, cups or gongs. Specific terms include resting bell,[1] prayer bowl,[2] Buddha bowl,[3] Himalayan bowl,[4] Tibetan bell,[4] rin gong,[2] bowl gong[3] and cup gong.[2] A bell that is capable of producing a sustained musical note may be known as a singing bowl[4][3] or Tibetan singing bowl.[4]

Contemporary classical music scores use a variety of other names including temple bell, Buddha temple bell, Japanese temple bell, Buddhist bell, campana di templo and cup bell.[5]

In Japan, the name for a bell of the standing type varies between Buddhist sects. It may be called rin (りん),[6] kin (),[6][1] dobachi,[1] keisu,[6] kinsu (きんす),[6] sahari[6] or uchinarashi,[6][7] among other things.[6] Large temple bells are sometimes called daikin (大磬),[6] while small versions for a home altar are known as namarin.[6]

The Chinese term qing (, or historically ), which historically referred to a lithophone used in state rituals, has more recently been applied to this type of standing bell.[8] Early Chinese standing bells are called nao[9] (traditional Chinese: ; simplified Chinese: ; pinyin: náo).

Origins and history

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There is evidence that the metal bell originated in China,[10] with the earliest known Shang dynasty (16th–11th centuries BCE) bells being among the oldest bronze objects found in China.[10] They possibly originated from grain scoops of standard capacity (the word chung or 'grain measure' is used in many ancient texts to mean a bell).[11]

Early bronze standing bells called nao[9] embody some of the highest technical skills of Chinese civilisation and represent the earliest known form of chiming bell.[12] Taking the shape of hollow-stemmed[13] goblets with a curved rim, nao were made in sizes varying between 8 and 50 cm (3.1 and 19.7 in). They were mounted on their stem, with rim uppermost, and struck on the outside with a mallet.[12][9] Nao from southern China were produced as single specimens, while in the north they were produced in chimed sets of three.[12] Some were constructed such that striking at two different points would produce different ringing tones.[12]

Bronze bells of substantial size were being cast in China at least as early as the 13th–11th centuries BCE, and the spread of Buddhism in the 2nd–7th centuries CE gave new impetus to the production of large bells for use in rituals. Chinese tradition was, however, unique in that bells were made not only from bronze but also from cast-iron.[14]

Some writers have suggested that the modern singing bowl developed from bowls originally used for food;[15] but others consider that to be unlikely, pointing out that there would be no reason for food bowls to be manufactured with thick rims and with great attention paid to their acoustic properties.[16][17]

Bowl with wooden striker

Although it is sometimes stated that 'Tibetan singing bowls' date back to a pre-Buddhist, shamanic Bon-Po tradition, the manufacture and use of bowls specifically for the purpose of 'singing' (as opposed to standing bells/bowls that are intended to be struck) is believed to be a modern phenomenon.[17] The historical records and accounts of the music of Tibet are silent about singing bowls. Such bowls are not mentioned by Perceval Landon (a visitor in 1903–1904) in his notes on Tibetan music, nor by any other visitor. Likewise, though ringing and clanging sounds were noted by missionaries interested in traditional Tibetan healing practices, they make no mention of singing bowls.[17] The objects often now referred to as 'Tibetan singing bowls', and marketed as Tibetan ritual instruments, have been called "dharma products" that in fact come from northern India or Nepal, and are neither Tibetan nor ritual in origin.[15]

Operation

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Types of operation

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Japanese rin played as struck idiophone
Japanese rin played as friction idiophone, demonstrating chatter
Tibetan singing bowl struck and friction

Musically, these objects are classified as a type of bell (a bell is a hollow object which has maximum vibration around an open rim; a gong on the other hand has maximum vibration towards the centre).[18] They are usually placed on a pillow, to allow the rim to vibrate freely, though small bells may be held gently in the hand.[2][19]

They are often played by striking,[20] in which case they sound a bell note as a struck idiophone[18] (Hornbostel–Sachs classification 111.242.11).

Alternatively, some bells may be capable of 'singing bowl' operation as a friction idiophone,[20] (Hornbostel–Sachs classification 133.1). In this mode, a wooden mallet sometimes called a wand[21] or puja[5] is rotated around the outside rim to excite continuous vibrations in the bowl by the slip-stick mechanism,[22] the principle being the same as that of water-tuned musical glasses.[20] The volume of the continuous note depends on the speed of the mallet and the force that is applied.[22]

A spouting bowl in use

Singing bowls may be partly filled with water,[20] allowing them to be tuned. A Chinese form known as a 'spouting bowl' has handles which, when rubbed with damp hands, causes water droplets to leap up as a result of standing waves known as Chladni patterns on the water surface.[20] Such bowls are said to have been manufactured from as early as the 5th century BCE.[23]

Vibrational behaviour

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Water spouting in a singing bowl

The vibrational behaviour of bowls has been simulated[24] and has been widely studied both under friction-induced puja excitation[25][5] and also after being struck.[5] In the former case, experiments indicate that bowls exhibit both radial and tangential motion, in concurrent stable and unstable modes.[5] The unstable mode rotates around the bowl at the same angular velocity as the puja, resulting in beating phenomena always being heard, even with a perfectly symmetrical bowl.[5] Rattling or chattering may occur, particularly with harder puja, lower contact forces[26] and greater angular velocity.[22] Research has also been carried out using loudspeaker-induced oscillation.[27] Studies have investigated the behaviour of bowls partly filled with water, the way in which the resonant response varies with temperature,[28] and the characteristics of drop-ejection from the liquid surface.[27] A BBC report of 2011[29] includes slow motion video from one of the studies.[27]

Usage

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Standing bells are used for religious purposes, music making and meditation,[22] as well as for relaxation and personal well-being.[24] They have become popular with music therapists and sound healers, yoga and meditation practitioners.[2]

Religious usage

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Chuông bát (standing bell) and (wooden fish) at Vạn Linh Khánh Temple, Quảng Ninh, Vietnam

In the religious context, standing bells are primarily associated with Buddhist meditation and chanting, although they are also used in Taoist practices.[30] In Chinese Buddhist temples the chanting of prayers may be punctuated by the striking of a qing, typically a hammered bronze bowl between 10 and 15 cm (3.9 and 5.9 in) in diameter. The qing is usually paired with a muyu (wood block).[8] In Japanese temples, the rin is used along with a rei (a small hand bell), and two percussion instruments: an orugoru (a set of small gongs) and a kei (a stone or metal plate). The rin is also used in household worship.[7][31] Buddhist ritual makes no use of the 'singing' mode of bell operation.[32]

Use in music

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A 1968 reference mentions the 'celuring-set', said at the date of writing to have been a rare instrument found only in the central Javanese principalities. This consisted of a large ornate frame, on top of which was mounted a set of bronze half-coconut-shaped bowls which were struck with a small iron bar.[33]

Singing bowls

Bowls that were capable of singing began to be imported to the West from around the early 1970s. The musicians Henry Wolff and Nancy Hennings have been credited with the singing bowl's introduction for musical purposes in their 1972 new-age album Tibetan Bells (although they gave no details of the bowls used in the recording).[34] This was the first in what would become a series of five related releases: Tibetan Bells II (1978), Yamantaka with Mickey Hart (1983), Tibetan Bells III (1988), and Tibetan Bells IV (1991).[35] The albums are based on the concept of taking a spiritual journey, with the music as a guide.[35]

Wolff and Hennings' seminal recording was followed by the development of a unique style of American singing bowl music called 'Tibetan music'.[36] This has remained very popular in the US with many recordings being marketed as World music or New-age music since the introduction of those terms in the 1980s.[37] 'Tibetan singing bowls' have as a result become a prominent visual and musical symbol of Tibet,[36] to the extent that the most prevalent modern representation of Tibet within the US is that of bowls played by Americans.[38]

Standing bells/bowls are called for in several contemporary classical music scores, including Philipe Leroux's Les Uns (2001);[5] John Cage / Lou Harrison's Double Music (1941);[5] Taverner's Total Eclipse (1999);[5] Tan Dun Opera's Marco Polo (1995);[5] Joyce Bee Tuan Koh's (1997);[5] and Robert Paterson's Eating Variations (2006). In Japan they are also used in kabuki theatre.[6]

Longplayer is a musical composition for Tibetan bells by Jem Finer. Six recorded selections from a short piece of source music play simultaneously, at different pitches and speeds, combined such that no combination is repeated until one thousand years has elapsed.[39][40]

Spirituality and healing

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Healing ritual at a beach in Goa (2019)

In the West, singing bowls are sometimes used in alternative medicine, their modern popularity for that purpose perhaps deriving from the modal vibration studies[41] known as Cymatics carried out by the physician Hans Jenny (1904–1972).[17] They are also used in sound therapy and for personal spirituality by those who believe that the sound can work on the chakras.[42] Western recordings of so-called 'Tibetan music' frequently associate the bowls with relaxation, as well as attributing them with healing powers and the ability to create some sort of 'altered state' in the mind of the listener.[43] It has been argued that the altered state (whether meditative, spiritual, drug-related or all three) is a key association with 'Tibetan music' in the US and adds to the market value of that representation of Tibet.[43]

Manufacture and composition

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Most standing bells are manufactured substantially of bell metal (an alloy of copper and tin), sometimes with impurities or additions, although variability can be inferred from the variety of alloy colours.[44] They are generally bowl-shaped, and exist in a wide variety of sizes, from a few centimetres to one metre in diameter.[1]

It is sometimes stated that singing bowls are 'traditionally' made of an alloy consisting of various metals, often seven, each associated with a heavenly body. Those commonly mentioned are gold, silver, mercury, copper, iron, tin and lead (or antimony).[45][17] This is said to be supported by the results of a 1996 analysis of two bowls by Concordia University, which found them to be essentially of bell metal with small quantities—consistent with impurities—of some of the other metals that were looked for, namely lead, zinc, iron and silver. No gold or mercury was found within the accuracy of the measuring apparatus.[46]

Singing bowls are also sometimes said to incorporate meteoritic iron.[17][45] Some modern 'crystal' bowls are made of re-formed crushed synthetic crystal.[17]

The usual manufacturing technique for standing bells was to cast the molten metal followed by hand-hammering into the required shape.[32] Modern bells/bowls may be made in that way, but may also be shaped by machine-lathing.

The finished article is sometimes decorated with an inscription such as a message of goodwill,[1] or with decorative motifs such as rings, stars, dots or leaves. Bowls from Nepal sometimes include an inscription in the Devanagari script.[47]

References

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Bibliography

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Revisions and contributorsEdit on WikipediaRead on Wikipedia
from Grokipedia
A standing bell, also known as a resting bell, is a bowl-shaped consisting of an supported from below with its open rim facing uppermost, typically crafted from metal such as and producing resonant tones when struck or circumferentially rubbed with a . These instruments vary widely in size, from small handheld versions to larger ones placed on cushions or stands, and are distinguished from or bells by their stable, upright position that allows vibrations to emanate freely. The earliest known forms of standing bells, referred to as nao in ancient Chinese nomenclature, emerged during the Late (ca. 1300–1050 BCE) in regions like , province, where they were cast in using advanced piece-mold techniques. These proto-chime bells featured a lens-shaped cross-section enabling them to produce two distinct pitches depending on the strike location—one from the center near the rim (A-tone) and one from the side (B-tone)—and were often decorated with intricate motifs such as masks, dragons, and knobs symbolizing ritual power. By the dynasty (1046–771 BCE), bells had evolved into suspended sets, such as bianzhong, arranged mouth downward in frames, used in graduated ensembles to perform simple tunes spanning up to five octaves when struck externally. Standing bells hold significant cultural and ritual importance across East and South Asian traditions, initially serving in Chinese court ensembles alongside strings, winds, and other percussion to accompany ceremonial and burials. In later Himalayan contexts, particularly among Tibetan Buddhist communities, they became integral to practices, recitation, and rituals, where rubbing the rim generates sustained overtones believed to promote relaxation and spiritual alignment; the historical connection between ancient Chinese standing bells and later Himalayan examples remains debated among scholars. Archaeological evidence from ancient Chinese sites underscores the role of tuned bell sets in sophisticated musical systems that influenced subsequent developments in Asian and acoustics. Today, standing bells continue to be employed in sound therapy, , and global wellness practices, bridging ancient craftsmanship with modern therapeutic applications.

Definition and Terminology

Nomenclature

A standing bell is defined as a bowl-shaped that rests on a surface with its rim uppermost, producing sound primarily through striking or rubbing its exterior, without the need for suspension or an internal . The for standing bells varies across cultures, reflecting their diverse uses and forms. In English, terms such as "standing bell" and "resting bell" emphasize the instrument's unsupported, upright orientation, distinguishing it from suspended varieties. In Himalayan and Tibetan traditions, the term "singing bowl" has become prevalent, particularly for those capable of sustained tones when rimmed; this designation, a modern Western invention not used traditionally in those contexts, gained widespread use in the 1970s through spiritual literature and Western imports. Japanese Buddhist contexts refer to them as "rin" (鈴), highlighting their role in temple rituals. Burmese examples are known as "kyey se" (ကျယ်စီ), sometimes described as resting gongs due to their flat, gong-like profile. Historically, naming conventions for these instruments shifted from utilitarian descriptors to more ritualistic ones, especially within Buddhist practices. Early references suggest origins as practical items like begging bowls, before their sonic properties elevated them to ceremonial status in religious settings. Standing bells differ from hanging bells primarily in their physical support and activation mechanism. While hanging bells, such as traditional church or temple bells, are suspended from above with the mouth facing downward and typically feature an internal or external striker to produce through swinging motion, standing bells rest upright on a , floor, or padded surface with the rim uppermost, lacking any suspension or clapper; they are activated solely by direct percussion on the exterior. Singing bowls represent a subset of standing bells, but the distinction lies in playing techniques: all singing bowls qualify as standing bells due to their inverted, rim-up orientation and bowl shape, yet not all standing bells are played as "singing" bowls via rim-rubbing to sustain tones; for instance, Japanese rin are struck externally on the side or rim for a clear, resonant note without rubbing, contrasting with the friction-based method common in Tibetan singing bowls. In contrast to gongs and plate bells, standing bells maintain a distinct bowl-shaped profile that facilitates sustained tones through cavity resonance, emphasizing a strong fundamental frequency and rich overtones derived from the curved walls, whereas flat gongs produce indefinite decay with complex, crashing harmonics upon striking, and plate bells—often handheld or frame-mounted—are non-cavity designs yielding shorter, less resonant sounds without the bowl's vibrational depth. Regionally, this acoustic emphasis on fundamental and overtones from bowl curvature is evident in examples like the Japanese rin, a struck standing bell used in rituals, versus suspended Chinese temple bells such as the bo, which hang from a loop and generate a single struck tone without resting support.

Historical Development

Origins in ancient Asia

The earliest evidence of standing bells traces to the (ca. 1600–1046 BCE), where nao bells emerged as the first chime bells, cast in and mounted rim uppermost on stands or held, struck externally to produce sound. These early objects featured simple forms that could be struck to produce sound, laying the groundwork for later idiophonic instruments. In ancient , these bells served in and court music to accompany ceremonies honoring ancestors. By the dynasty (1046–771 BCE), nao bells evolved into suspended sets in frames, arranged mouth-upward or downward for performance. No confirmed standing bells predate 2000 BCE, with Shang-era examples representing the oldest verified precursors. A specific development occurred around the CE, when standing bells were introduced to through Indian tantric influences, possibly evolving from metal begging bowls used by monks for alms and meditation rituals. These adaptations, brought by tantric masters like , integrated the bells into practices for sound meditation and ceremony. The antiquity of Tibetan singing bowls is debated, with some evidence suggesting they originated in the 18th–19th centuries as trade items rather than ancient ritual tools.

Evolution and regional variations

Following their ancient origins in Asia, standing bells underwent significant adaptations during the medieval period, particularly in the integration into Buddhist practices across and from the 8th to 12th centuries CE. In , during the imperial era (ca. 600–850 CE), bronze temple bells influenced by Chinese designs were commissioned by royalty, such as Khri Srong lde brtsan (r. 756–ca. 800 CE), for use in monastic rituals at sites like bSam yas Monastery to mark time, invoke merit, and accompany ceremonies under the supervision of Chinese monks. Hammered bowl-shaped standing bells emerged as key ritual tools in these contexts, evolving from cast forms to more portable variants suited for daily monastic use in and chanting. In , similar developments occurred through cultural exchanges, with bells adapted for tantric rituals emphasizing sound as a medium for spiritual invocation. By the 13th century, standing bells had spread eastward, with the Japanese rin—a bowl-shaped standing bell—formalized within Buddhist traditions following the introduction of Chan () from by figures like (1141–1215 CE) and (1200–1253 CE). The rin, often hand-hammered in bronze, became essential for signaling sessions and rituals in Zen monasteries, reflecting a minimalist aesthetic aligned with and rindai sects. Regionally, variations proliferated: Himalayan examples from and developed etched motifs, such as floral patterns or symbolic icons, enhancing their ritual potency. Key historical events further shaped the global trajectory of standing bells. In the , British expeditions into the , amid colonial tensions with , facilitated their Western discovery, with artifacts collected during missions like those preceding the 1904 Younghusband incursion leading to exports and initial commercialization in as exotic curiosities. The brought a New Age revival post-1960s , as interest in Eastern spirituality surged among Western seekers, incorporating standing bells into and sound healing practices beyond traditional contexts. These evolutions are evident in design variations, with diameters ranging from 5 to 50 cm to suit portable ritual use or larger ceremonial roles, and decorations progressing from plain bronze surfaces to intricate inscriptions of mantras like "" for amplified spiritual resonance.

Construction and Materials

Composition and alloys

Standing bells are primarily crafted from , a high-tin consisting of approximately 78% and 22% tin, which provides exceptional due to its acoustic properties and resistance to corrosion from environmental exposure. This composition ensures the bell's durability while allowing it to produce sustained, rich tones when struck or rubbed. In Himalayan traditions, variations incorporate trace elements such as , iron, lead, silver, and alongside the core copper-tin base, often in ratios like 76% copper and 22% tin with minor additions, enhancing both symbolic value and subtle tonal qualities. A notable example is the purported seven-metal used in some artisanal standing bells from and , blending copper, tin, iron, , silver, mercury, and lead to represent planetary influences and achieve ritualistic purity, though metallurgical analyses reveal most are predominantly copper-tin with minimal content. These multi-metal formulations are valued for their perceived spiritual significance rather than drastic changes in performance. Historically, ancient Chinese standing bells employed high-tin bronzes with 10–20% tin content, contributing to clearer, more piercing tones compared to lower-tin variants. In contrast, modern Nepali standing bells typically adhere to an 80/20 copper-tin ratio with trace impurities like or iron, maintaining the alloy's workability while optimizing for contemporary craftsmanship. The tin content directly influences the bell's pitch and profile; higher concentrations generally produce clearer, more piercing tones. Impurities such as , often found in inexpensive replicas made from alloys, diminish richness and lead to duller by altering the crystalline structure. Authenticity is verified through techniques like portable X-ray fluorescence (p-XRF) spectrometry or energy-dispersive X-ray (EDX) analysis, which quantify elemental ratios and detect adulterants. Since the early , environmental and regulations have prompted the development of lead-free variants in standing bells, replacing traditional lead additives with safer alternatives like additional to comply with standards such as the EU's REACH directive, thereby reducing toxicity risks without compromising acoustic integrity.

Manufacturing processes

Standing bells, particularly those known as singing bowls in Tibetan and Nepali traditions, are primarily manufactured through labor-intensive hand-hammering processes that have been passed down for centuries. Artisans begin by selecting flat sheets of , typically comprising , tin, and trace elements like . These sheets—often stacked in layers of four to five for efficiency—are heated in a until red-hot, making the metal malleable. The heated metal is then placed over wooden or metal molds and hammered repeatedly with specialized tools to form the characteristic bowl shape, creating variations in thickness that influence the instrument's , such as thinner rims for richer . This hammering stage alone requires thousands of precise strikes per bowl, with the entire crafting process spanning two to four weeks for a single piece, involving multiple heating and shaping cycles to refine the form without cracking the metal. In contrast, larger standing bells, such as the rin used in Japanese and Chinese Buddhist practices, are often produced via techniques, which allow for more intricate decorations on sizable objects. The process starts with sculpting a detailed wax model of the bell, which is encased in a mold of clay and sand. The assembly is heated to melt out the wax, leaving a cavity, into which molten is poured. Once cooled, the mold is broken away, revealing the cast bell, which can then be refined. This method, dating back over a millennium in , is less prevalent for smaller singing bowls due to its tendency to produce less uniform wall thicknesses, potentially leading to inconsistent vibrational qualities compared to hammered variants. Following formation, whether hammered or cast, standing bells undergo finishing stages to enhance , , and tonal precision. Surfaces are polished using abrasives and buffing wheels to achieve a smooth, reflective sheen that highlights the metal's . Artisans may etch symbolic designs, such as Buddhist motifs or mantras, into the exterior using chisels or for decorative and cultural significance. Tuning is achieved by carefully filing or grinding specific areas, particularly the rim and interior, to adjust the fundamental tone and harmonics, ensuring the bell produces clear, sustained sounds. In modern production, introduced widely since the , machine-pressing techniques stamp into molds under hydraulic pressure, enabling faster output of uniform bowls for commercial markets, though these often exhibit seamless finishes lacking the subtle imperfections of handmade pieces. Key artisanal hubs for these crafts include Patan in Nepal's , a renowned for its guilds where generations of families specialize in singing bowl production. Authentic hand-hammered bells bear visible hammer marks and irregular textures as hallmarks of quality and traditional authenticity, distinguishing them from the flawless, seam-free surfaces of cast or machine-pressed alternatives, which prioritize consistency over nuanced .

Acoustics and Playing Techniques

Methods of sound production

Modern standing bells, such as singing bowls or rin gongs, produce sound through two primary methods: striking and frictional rubbing of the rim. These techniques excite the bowl's vibrational modes, generating resonant tones that can vary in duration and depending on the application of force and the instrument's design. The bowl's concave shape facilitates these excitations by concentrating energy at the rim. Ancient standing bells, like Chinese nao, are primarily played by striking and do not typically involve rubbing. Striking involves using a to tap the outer rim or side of the , producing an initial sharp tone followed by a sustained ring as the vibrations decay. Common mallets include those made from wood or wrapped in sheepskin leather, which provide the necessary softness to avoid damage while delivering controlled impact. Techniques differ by bell type; for example, a soft tap on the side of a rin in meditative contexts yields a clear, lingering note without overpowering . The force of the strike determines the volume and intensity, with lighter taps creating subtler sounds and firmer ones amplifying the output. To prevent cracking, metal mallets should be avoided, as they can deliver excessive hardness to the bronze alloy. Frictional rubbing, often used with singing bowls, entails circling the upper rim with a leather-wrapped to generate continuous sound waves through sustained . This method requires even, consistent and a steady rotational speed—typically applying 1–9 N of and 0.1–0.5 m/s tangential —to excite self-sustained oscillations, resulting in a humming tone that can last several minutes. The must maintain contact near a radial node for optimal energy transfer, building harmonics gradually as the motion synchronizes with the bowl's modes. is modulated by adjusting ; higher forces reduce transients and enhance sustain but risk if excessive. For both methods, the bell is typically placed on a non-resonant or pad, such as a firm , to allow free of the rim while minimizing external . Alternatively, smaller bells may be held gently in the hand, where palm contact can slightly dampen lower frequencies for a more focused tone or amplify through body . This placement ensures the sound propagates clearly without interference from hard surfaces that could alter or muffle the output.

Acoustics of ancient standing bells

Ancient Chinese standing bells, such as the nao from the Shang and Zhou dynasties, feature a lens-shaped cross-section that enables the production of two distinct pitches depending on the strike location: an A-tone from striking the side and a B-tone from the center. This acoustic property arises from the exciting different vibrational modes, allowing tuned sets to span multiple octaves in ensembles. These bells, cast in , exhibit resonant tones with overtones influenced by their thickness and material, differing from the thin-walled modes of modern types.

Vibrational and harmonic properties

Standing bells exhibit distinct vibrational modes that arise from their geometry and material properties. When excited by rubbing along the rim, the bowl primarily deforms into a quadrupolar (2,0) mode, characterized by four nodal lines (meridians) where displacement is minimal and corresponding antinodes of maximum tangential and radial motion. This mode features in-plane vibrations with the bowl wall expanding and contracting alternately across the nodal lines. Higher-order modes, such as (3,0) and (4,0), can also be excited, displaying similar meridional nodal patterns but with increasing complexity in deformation. These modes can be visualized using Chladni patterns, where fine powder or is applied to the bowl surface during excitation, accumulating along nodal lines to reveal the symmetric vibration . The of the quadrupolar mode follows an approximate relation derived from plate vibration theory, given by f(2,0)12π3Y5ρshR2f_{(2,0)} \approx \frac{1}{2\pi} \sqrt{\frac{3Y}{5\rho_s}} \frac{h}{R^2}
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