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Ring of bells
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A "ring of bells" is the name bell ringers give to a set of bells hung for English full circle ringing. The term "peal of bells" is often used, though peal also refers to a change ringing performance of more than about 5,000 changes.
By ringing a bell in a full circle, it was found in the early 17th century that the speed of the bell could be easily altered and the interval between successive soundings (strikes) of the bell could be accurately controlled. A set of bells rung in this manner can be made to strike in different sequences. This ability to control the speed of bells soon led to the development of change ringing where the striking sequence of the bells is changed to give variety and musicality to the sound.
The vast majority of "rings" are in church towers in the Anglican church in England and can be three to sixteen bells, though six and eight bell towers are the most common. They are tuned to the notes of a diatonic scale, and range from a few hundredweight (100 kg) up to a few tons (4,000 kg) in weight. They are most commonly associated with churches as a means of calling the congregation to worship, but there are a few rings in secular buildings. Smaller rings of bells, known as "mini-rings" have come recently into existence for training, demonstration or leisure purposes, with bells weighing just a few kilograms.
Mechanism
[edit]


The full-circle bell is hung from bearings at the headstock and can be swung through an arc of over 360 degrees using a rope wrapping round a circular bell wheel in alternate directions. This allows the speed of the bell to be changed, by controlling the arc of the swing. The larger the arc, the slower the rate of striking.
The bells are mounted within a bellframe of steel or wood. Each bell is suspended from a headstock fitted on trunnions (plain or non-friction bearings) mounted to the belfry framework so that the bell assembly can rotate. When stationary in the down position, the centre of mass of the bell and clapper is appreciably below the centreline of the trunnion supports, giving a pendulous effect to the assembly, and this dynamic is controlled by the ringer's rope. The headstock is fitted with a wooden stay, which, in conjunction with a slider, limits maximum rotational movement to a little less than 370 degrees. To the headstock a large wooden wheel is fitted and to which a rope is attached. The rope wraps and unwraps as the bell rotates backwards and forwards. This is full circle ringing and quite different from fixed or limited motion bells, which chime. Within the bell the clapper is constrained to swing in the direction that the bell swings. The clapper is a rigid steel or wrought iron bar with a large ball to strike the bell. The thickest part of the mouth of bell is called the soundbow and it is against this that the ball strikes. Beyond the ball is a flight, which controls the speed of the clapper. In very small bells this can be nearly as long as the rest of the clapper.
Ringing technique
[edit]The rope is attached to one side of the wheel so that a different amount of rope is wound on and off as it swings to and fro. The first stroke is the handstroke with a small amount of rope on the wheel. The ringer pulls on the sally and when the bell swings up it draws up more rope onto the wheel and the sally rises to, or beyond, the ceiling. The ringer keeps hold of the tail-end of the rope to control the bell. After a controlled pause with the bell, on or close to its balancing point, the ringer rings the backstroke by pulling the tail-end, causing the bell to swing back towards its starting position. As the sally rises, the ringer catches it to pause the bell at its balance position.
Each time it is pulled, a bell's motion begins in the mouth-upwards position. As the ringer pulls the rope the bell swings down and then back up again on the other side. During the swing, the clapper inside the bell will have struck the soundbow, making the bell sound or "strike". Each pull reverses the direction of the bell's motion; as the bell swings back and forth, the strokes are called "handstroke" and "backstroke" by turns. After the handstroke a portion of the bell-rope is wrapped around almost the entirety of the wheel and the ringer's arms are above his or her head holding the rope's tail end; after the backstroke most of the rope is again free and the ringer is comfortably gripping the rope some way up, usually along a soft woolen thickening called a sally.
Normally there is one ringer per bell, due to the bell weights and rope manipulation involved.
Location in the tower
[edit]The bells are usually arranged in an upper room called a belfry in such a way that their ropes fall into the room below, called the ringing chamber, in a circle. Clockwise circles are most common, but there are a few anticlockwise rings.
Unlike the norm among most musicians, the bells are numbered downwards, progressing from the treble (the lightest and highest-sounding bell), to the "2", the "3", and so forth down to the heaviest and deepest-sounding bell, the tenor.In some towers, a bell larger than a tenor that is present would be called a bourdon. The bourdon is not part of the change ringing peal, it is hung from a pivoted beam.
About 5 feet (1.5 m) from the floor, the rope has a woollen grip called the sally (usually around 4 feet (1.2 m) long) while the lower end of the rope is doubled over to form an easily held tail-end.
Striking of the clapper
[edit]In English-style ringing, the bell is rung up such that the clapper is resting on the lower edge of the bell when the bell is on the stay.
During each swing, the clapper travels faster than the bell, eventually striking the soundbow and making the bell sound. The bell speaks roughly when horizontal as it rises[clarification needed], thus projecting the sound outwards. The clapper rebounds very slightly, allowing the bell to ring. At the balance point, the clapper passes over the top and rests against the soundbow.
The distinctive sound
[edit]The sound made by a bell rung full-circle has two unique subtle features.
Because the clapper rests against the bell immediately after striking it, the peak strike intensity dies away quickly as the clapper dissipates the vibration energy of the bell. This enables rapid successive strikes of multiple bells, such as in change ringing, without excessive overlap and consequent blurring of successive strikes. In addition, the movement of the bell imparts a doppler effect to the sound, as the strike occurs whilst the bell is still moving as it approaches top dead centre.
Both these effects give full circle ringing of bells in an accurate sequence a distinctive sound which cannot be simulated by chimed bells which are stationary and take more time for each strike to decay.
Bell decoration
[edit]Tower bells are often cast with inscriptions on their sides. These are often as simple as the name of the foundry which cast the bell, or that of its donor. Sometimes, however, bells are named, or bear short mottos. At Amersham in Buckinghamshire the tenor proclaims "Unto the Church, I do You call, Death to the grave will summon all." Perhaps because they are tolled at funerals, tenors often bear this sort of serious motto; those of trebles are often more light-hearted. The one at Penn, Buckinghamshire, for example, reads "I as trebell doe begin"; that at Northenden, Lancashire reads "Here goes, my brave boys."
Dove's Guide
[edit]A key resource is Dove's Guide for Church Bell Ringers, which aims to list all towers worldwide with bells hung for full-circle ringing. As of January 2021[update], that guide listed 5756 ringable rings of bells in England, 182 in Wales, 37 in Ireland, 22 in Scotland, 10 in the Channel Islands, 2 in the Isle of Man and a further 142 towers worldwide with bells hung for full circle ringing.[1] Australia has 64 rings of bells.[2] Others are located in Italy, the USA, Canada, France, Netherlands, Belgium, New Zealand, South Africa, Kenya, Zimbabwe, and Pakistan.[1]
Bell ringing has been very common in England for centuries, and one of the effects of this is that there are many pubs around the country called "The Ring of Bells".
Bell ropes
[edit]Bell ropes are specially made for ringing, as they have the sally, a woollen grip which is used for the handstroke pull of the bell, woven into the strands. The preference is for a natural fibre, formerly Indian hemp, but now mainly flax, as this is kinder on the ringers' hands. However, the rope length between the sally and the bell can be a hard-wearing synthetic rope with little stretch, or which has been pre-stretched, to reduce spring.
Rope splicing plays an important role in English-style ringing. Judicious splicing can help prolong the life of ropes, as wear tends to occur in specific places, such as at the garter hole, or where passing over the pulley, rather than the whole rope.[3]
Terminology
[edit]- Back bells - the heavier bells of the ring
- Backstroke - the part of a bell's cycle started by pulling on the tail end
- Band - a group of ringers for a given set of bells (or for a special purpose, e.g., a "peal band")
- Bearings - the load-bearing assembly on which the headstock (and so the whole bell) turns about its gudgeon pins. Modern hanging means the bell is hung on ball or roller bearings, but were traditionally plain bearings.
- Bump the stay - allow the bell to swing over the balance, out of control, so the stay pushes the slider to its limit, stopping the bell.
- Canons - loops cast onto older bells' crowns.
- Clapper - the metal (usually cast iron) rod/hammer hung from a pivot below the crown of the bell, that strikes the soundbow of the bell when the bell stops moving.
- Clocking - causing a bell to sound while down by pulling a hammer against it (as a clock would) or by pulling the clapper against the side of the bell.
- Handstroke - the stroke when the sally is gripped.
- Sally - the woollen bulge woven into the rope. It is both an indicator and a help with gripping. From the Latin salire, to leap.[4]
- Slider - a device which allows the bell to go over the balance at each end of its swing, but not to over-rotate.
- Stay - a device that is attached to the headstock and works in conjunction with the slider.
- Tenor - the lowest-pitched bell.
- Treble - the highest-pitched bell.
References
[edit]- ^ a b Dove, Ron; Baldwin, Sid (29 April 2007). "Dove's Guide for Church Bell Ringers". Central Council of Church Bell Ringers. Central Council Publications. Retrieved 30 April 2007.
- ^ "All Saints for All People - Heritage". Parramattanorth.anglican.asn.au. Retrieved 12 January 2021.
- ^ Beech, Frank (2005). Splicing Bell Ropes Illustrated (first ed.). Central Council of Church Bell Ringers. pp. 1–32. ISBN 0-900271-82-5.
- ^ Oxford English Dictionary
External links
[edit]- Animation of English Full-circle ringing
- "Bells in Your Care" – Central Council of Church Bell Ringers
- "What Is Change Ringing? – North American Guild of Change Ringers
- - Video of plain hunt ringing, showing the technique of ringing the bells and the simultaneous swinging of the bells in the bell chamber
- "Why a ring of bells is a tragic lost treasure of St Bride's" – St Bride's Church, Fleet Street
Ring of bells
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Definition and Purpose
A ring of bells consists of a set of tuned bells, typically numbering between 5 and 12, that are hung in a church tower specifically for full-circle ringing.[8] This setup allows ringers to swing each bell through a full 360-degree arc, enabling the production of complex mathematical permutations known as changes, where the sequence of bell sounds varies systematically without repeating patterns.[8] Unlike single bells or carillons, which may be struck mechanically or rung in fixed tunes, a ring of bells emphasizes manual control by a team of ringers to create dynamic, non-melodic soundscapes.[9] The primary purposes of a ring of bells have historically included signaling community events, such as calling worshippers to church services, marking the hours, and announcing celebrations like weddings or holidays.[10] In contemporary practice, rings serve both liturgical and recreational roles, with change ringing functioning as an artistic and athletic pursuit that combines elements of mathematics, music, and teamwork to generate rhythmic, ever-shifting patterns of sound.[9] This dual function underscores the bells' role in fostering social bonds within communities while preserving a traditional craft.[11] The bells in a ring are tuned to a diatonic major scale, progressing from the lightest and highest-pitched treble bell to the heaviest and lowest-pitched tenor bell, which often serves as the key note.[4] Such rings are most prevalent in English-speaking countries, particularly the United Kingdom, where over 5,000 church towers maintain operable sets for ringing.[12] They are also found in places like the United States, Canada, Australia, and New Zealand, reflecting the global spread of this English tradition.[9]History
The practice of ringing rings of bells, particularly in the form of change ringing, originated in medieval Europe, with tower bells reaching Britain around the 8th century for signaling church services and community events.[5] By the 12th century in England, the tradition evolved from single bell chiming to coordinated ringing of multiple bells, drawing influence from the developing carillon traditions in the Low Countries, where tuned sets of bells were used for melodic sequences in the 16th century.[13] This shift marked the beginnings of organized bell ringing as a communal and recreational activity, distinct from continental carillon playing, and was facilitated by advancements in bell casting and hanging techniques during the period.[14] Key developments occurred in the 16th century with the introduction of full-circle ringing in England, where bells were hung on wheels to swing through a complete 360-degree arc, providing greater control over timing and volume compared to earlier half-swing methods.[15] This innovation laid the groundwork for change ringing, which emerged in the late 16th and early 17th centuries as ringers began systematically varying the order of bell strikes to produce mathematical permutations.[5] The standardization of these methods is credited to Fabian Stedman, often called the father of change ringing, who in 1668 co-authored Tintinnalogia, the first book detailing plain changes and principles for composing sequences on multiple bells, followed by his 1677 work Campanalogia.[16] A milestone came in 1715 with the first recorded peal—a full extent of changes lasting over three hours—rung on seven bells at St. Peter Mancroft in Norwich, demonstrating the feasibility of extended mathematical ringing.[17] During the 18th and 19th centuries, change ringing spread from England to its colonies and beyond, with early adoption in North America; bells arrived in the 17th century, and the first peal was rung in 1850 at Christ Church in Philadelphia.[3] By the 19th century, the practice had taken root globally in English-speaking regions, supported by the establishment of ringing societies and the export of English bell-founding expertise.[18] The Central Council of Church Bell Ringers, founded in 1891, played a pivotal role in coordinating societies, standardizing methods, and promoting the art worldwide.[5] In the 20th century, bell ringing faced decline after World War II, exacerbated by urbanization, reduced church attendance, and societal shifts away from traditional community practices, leading to fewer active ringers and tower maintenance.[19] The wars themselves disrupted the tradition, with ringing banned in Britain from 1940 to 1943 as an invasion signal, causing a loss of skills and enthusiasm.[20] However, revival efforts through organizations like the Central Council helped sustain the practice, with post-1950s increases in interest driven by educational programs and events, though challenges from modern lifestyles persist.[21]Components
The Bells
Bells used in change ringing are primarily constructed from a bronze alloy consisting of approximately 77% copper and 23% tin, known as bell metal, which provides the necessary resonance and durability for sustained vibration.[22] This composition has been standard since the 7th century, though variations exist; smaller bells occasionally employ iron or steel castings as a cost-effective alternative, though such materials produce inferior tonal quality and are rare in modern installations. The alloy's hardness ensures the bells withstand repeated clapper impacts without deforming. Individual bells are cast in sand molds using a profile gauge to ensure precise shape and thickness, which directly influence pitch and timbre. Key structural components include the crown at the top for suspension, the shoulder forming the upper curve below the crown, the waist as the narrower middle section often bearing inscriptions, and the soundbow, the thickened lower rim where the clapper strikes to produce the primary tone.[22] Weights vary significantly within a ring to achieve descending pitches: the lightest bell, the treble, typically weighs around 100-200 kg, while the heaviest, the tenor, ranges from 500 kg to over 4 metric tons in exceptional cases, such as at Liverpool Cathedral.[4][23] These bells are hung in frames for full-circle swinging, allowing controlled rotation.[22] Tuning occurs after casting, primarily by removing small amounts of metal from the interior using files, chisels, or vertical lathes to adjust the partial tones that define the bell's harmonic profile. The process targets the hum (the lowest partial, approximately two octaves below the perceived pitch), the strike note (the dominant perceived tone upon impact), and higher partials like the prime, tierce, quint, and nominal, aligning them to a harmonic series for a clear, musical result.[7] In well-tuned bells, the strike note emerges as a virtual tone around the 10th to 12th harmonic, created by the reinforcement of lower partials, ensuring the bell blends harmoniously in a ring without clashing overtones.[4] A ring is sized by the number of bells and their tuning scale, typically diatonic in just intonation for optimal consonance. Common configurations include six bells for minor methods and eight for major, with the lightest bell (treble) determining the upper end of the scale, often tuned to a high note like E or F above middle C, descending to the tenor's deeper fundamental.[15] This setup allows for mathematical permutations in change ringing while maintaining tonal balance.Installation and Frame
Bells in a ring are typically housed in the belfry, a dedicated chamber at the top of church towers or spires, where sufficient height accommodates the swinging motion of full-circle ringing, adequate ventilation prevents moisture buildup and timber decay, and the structure provides the necessary integrity to transmit dynamic forces to the tower walls without compromise.[24][25][26] The frame, which supports the bells, is engineered to allow independent swinging while minimizing vibrations; traditional designs include wooden H- or A-frames constructed from oak or elm, often reinforced with tie-rods and angle plates for stability, whereas modern variants use steel for enhanced durability.[24][26] Each bell is mounted on a headstock fitted with ball bearings to reduce friction during rotation, and stays and sliders guide the bell's arc to prevent excessive lateral movement.[24] Installation involves precise fitting within the tower's constraints, such as assessing floor beams and mortices for support; when augmenting an existing ring, such as by adding lighter treble bells, the frame may be reconfigured into multi-tier H-frame arrangements to integrate new components without disrupting the overall balance.[24][26] Safety features include clapper buffers to cushion impacts at the limits of swing and bonding metal frames to lightning conductors to mitigate electrical risks.[24] Historically, bell frames evolved from simple medieval timber trusses suited to limited chiming toward more robust wooden box frames in the 17th and 18th centuries to enable full-circle change ringing, with a significant shift in the 19th century to iron and steel constructions for greater strength and longevity amid increasing ring sizes.[25][24] This transition addressed durability issues in wooden frames, such as rot and wear, particularly as demands for heavier bells grew.[25]Ropes and Fittings
In change ringing, the bell rope serves as the primary interface between the ringer and the bell, consisting of a top end typically made from durable polyester fibers to withstand abrasion in the bell chamber, while the lower portion uses natural fibers such as hemp or flax for flexibility and grip.[27] The sally, a tufted section of woolen yarn woven into the rope about 30-40 cm above the bottom, provides a soft, secure handhold during the handstroke, and its height is adjustable to suit the average ringer's stature.[27] The tail end, often doubled back and spliced for reinforcement, extends below the sally and is grasped during the backstroke; the overall rope length is custom-measured based on the vertical distance from the ringing chamber floor to the bell's garter hole, ensuring the sally hangs approximately 1.7 meters from the ground when the bell is at rest.[28] Synthetic alternatives to traditional hemp have become common since the 1970s for the upper sections due to greater longevity and reduced stretching under load.[27] Associated fittings guide and balance the rope's path. The garter hole on the bell wheel, where the rope loops, is a high-friction point often reinforced with leather or synthetic inserts to minimize wear.[27] Pulleys, including ground-level sheaves positioned about 45 cm below the garter hole, redirect the rope smoothly and reduce lateral strain, while fixed guide boxes in the ringing chamber protect the tail end from floor abrasion.[27] Tail-end weights, typically around 25 kg, are attached to counterbalance the rope's elasticity, preventing excessive sag and aiding consistent pull tension.[27] Maintenance ensures safe and efficient operation, with regular inspections focusing on wear at key points like the garter hole and pulleys. Ropes require periodic splicing—using short or long methods depending on material—to repair fraying, with natural fiber sections joined via hand techniques and synthetics often machine-spliced for strength.[29] Lubrication with an oily compound is applied to natural fiber ropes to prevent drying and internal chafing, extending their lifespan to 15-20 years under moderate use.[30] Color-coding the sally with combinations of up to three colors (such as black, orange, and blue) allows ringers to quickly identify specific bells in a ring, facilitating coordinated pulling.[29] Ergonomically, the rope's design accommodates alternating hand- and tail-strokes: the sally's wool tuft enables a firm, cushioned grip for the upward handstroke pull, where ringers control the bell's speed via the "handstroke catch"—a precise grasp that halts momentum at the top of the swing—while the plain tail end supports a lighter, tension-maintaining hold during the downward backstroke.[31] This dual-grip system minimizes fatigue and allows fine adjustments in ringing pace, as seen in basic pulling techniques where rope balance directly influences stroke timing.[27]Mechanics
Ringing Mechanism
In full-circle ringing, bells are mounted on pivots within a frame, allowing them to rotate through a complete 360-degree cycle from the mouth-upwards position, passing through the downward position and returning to mouth-upwards on the opposite side, distinguishing this method from half-swing chiming where bells oscillate only partially without full rotation.[32] This full-circle motion enables precise control over the ringing sequence, essential for change ringing practices.[33] The dynamics of the bell's motion rely on a combination of inertia imparted by the ringer's pull on the rope attached to the wheel, which initiates the swing, and gravity, which assists in returning the bell to its balanced position. The wheel, integrated with the headstock, amplifies the torque from the rope pull, leveraging the bell's moment of inertia to carry it through the arc, while gravitational potential energy—governed by the height of the bell's center of mass—drives the descent and ascent phases. The swing arc is typically nearly 180 degrees from the balanced (mouth-up) position to mouth-down, allowing a full 360-degree rotation while maintaining control to prevent over-rotation beyond the frame's constraints.[32][34] Synchronization among multiple bells is achieved through coordinated timing, beginning with the basic "rounds" pattern where bells strike in sequential order (e.g., 1-2-3-4-5-6-7-8), establishing a rhythmic cycle that prevents overlaps or "fouling," where ropes or stays might tangle due to mistimed pulls. Proper timing ensures each bell completes its full circle without interfering with adjacent ones, maintaining the integrity of the ringing sequence.[33][35] Safety mechanisms are integral to the ringing process, particularly during the initial "raising in peal," where clappers are often tied to the bell to immobilize them and prevent unintended strikes that could damage the installation or injure ringers. Mistimed pulls can lead to "draft" risks, where a bell falls prematurely from its balanced position, releasing stored potential energy suddenly and potentially causing ropes to whip or bells to collide; ringers are trained to release the rope immediately in such scenarios to mitigate hazards.[36][37] The rope's sally provides a grip point for controlled pulling, further aiding safe operation.[33]Clapper Action and Striking
The clapper is the internal striking component of a church bell, designed as a pivoted metal tongue consisting of a central shaft that terminates in a heavy ball, with an additional flight at the top to increase mass and momentum during oscillation. Traditionally forged from wrought iron for its toughness and malleability, modern clappers often use ductile cast iron or even composite materials with wooden shafts to reduce overall weight while maintaining dynamic performance. The clapper is suspended from an independent crown staple via a pivot pin and bushes, such as lignum vitae or nylon, which allow free swinging while minimizing friction. Leather or fiber buffers attached to the crown staple washer cushion the impact, reducing wear on both the clapper and the bell's interior. In the striking process, the clapper exploits its inertia to lag behind the bell's swing, generated by the external ringing mechanism, causing it to accelerate relative to the bell and collide with the inside of the soundbow—the thickened rim near the bell's mouth—once per full oscillation. This internal strike delivers the necessary impulse for the bell to ring, with the clapper's weighted design ensuring sufficient force despite the bell's rotation through approximately 360 degrees. The clapper's swing path positions it to hit the soundbow when the bell is roughly horizontal and rising, after which it rests against the opposite side until the next reversal. Timing of the strikes is synchronized with the bell's motion: during handstroke, the bell is inverted (mouth downward), and the clapper strikes one side of the soundbow; at backstroke, the bell is upright (mouth upward), striking the opposite side to alternate the impact points. In change ringing, the "hunt" phase introduces rhythmic delays as bells exchange positions gradually, with the clapper's natural swing period tuned to approximately 75% of the bell's low-amplitude oscillation period to maintain even pacing and prevent premature or delayed strikes.[38] This ensures the overall rhythm, where each full pull (handstroke followed by backstroke) produces two distinct blows per bell. Adjustments to the clapper action are made using a clapper stay mechanism, typically featuring twiddle pins that center the clapper's rest position and fine-tune the strike timing to within 1 mm for balanced handstroke and backstroke intervals. Wear on the pivot bushes or elongation of the impact zone on the soundbow—often exceeding 20 mm—can shift the strike position, leading to uneven timing or reduced impact efficiency; severe wear beyond 50 mm necessitates re-bushing or replacement to restore proper dynamics and tone quality.Sound Production
When a bell in a ring is struck by its clapper, the impact initiates vibrations across multiple modes of the bell's structure, producing a complex spectrum of partial tones known as partials. The primary partials include the hum (the lowest, corresponding to the fundamental frequency, typically two octaves below the nominal), prime (one octave below the nominal), tierce (a minor third above the prime), quint (a perfect fifth above the prime), and nominal (the reference pitch). These arise from specific vibrational modes characterized by nodal lines and circles: for instance, the hum features four nodal meridians with no nodal circles, while the nominal has eight nodal meridians and a nodal circle positioned at about 54% from the lip to the shoulder.[39][40] Unlike harmonic instruments such as strings or pipes, bells exhibit significant inharmonicity, where the partial frequencies deviate from integer multiples of the fundamental, resulting in a unique, non-harmonic timbre. This inharmonicity stems from the bell's thick-walled, cup-shaped geometry, which couples radial, axial, and bending vibrations in ways that produce partials with frequencies not aligned in simple ratios; for example, the tierce and quint partials introduce dissonant yet consonant intervals when properly tuned. Such characteristics distinguish bell sounds from other percussion instruments, contributing to their resonant, lingering quality.[40][7] In a ring of bells, the collective sound emerges from permutations of striking orders during change ringing, where bells are rung in mathematical sequences that alter their relative pitches over time, creating an evolving auditory pattern akin to abstract music without a fixed melody. The full-circle swinging of each bell introduces speed variations, producing a subtle Doppler-like shift in perceived pitch as the sound source moves toward and away from the listener during the strike, enhancing the dynamic texture of the ring.[38][41] The distinctive auditory profile of a bell ring features an initial sharp "clang" from the strike, dominated by the prime partial and higher strike notes, followed by a sustained hum from the low-frequency partials that decays slowly. Tuning of the bells ensures consonant intervals among partials, such as the minor third between prime and tierce, allowing harmonious blending across the ring despite individual inharmonicity.[7][40] Acoustic analysis of bell rings often employs spectrograms to visualize the partials' evolution, revealing differential decay rates where higher-frequency partials (e.g., tierce and quint) attenuate rapidly within 200 milliseconds to 60% of initial amplitude, while the hum persists for up to one second or more, shaping the overall resonance. These spectrograms, generated via fast Fourier transform on recordings, highlight the strike's broadband excitation and the subsequent selective damping, providing insights into timbre and tuning accuracy.[42]| Partial | Typical Interval Relative to Nominal | Decay Time to 60% Amplitude (Approximate) | Nodal Meridians |
|---|---|---|---|
| Hum | -24 semitones (2 octaves below) | ~1 second | 4 |
| Prime | -12 semitones (1 octave below) | ~0.2-1 second | 4 |
| Tierce | -9 semitones (minor third above prime) | ~0.2 second | 6 |
| Quint | -5 semitones (perfect fifth above prime) | ~0.2 second | 6 |
| Nominal | Reference (0 semitones) | ~0.2-0.5 second | 8 |