Often-overlooked alternatives to equal temperament from Africa to Indonesia, and Georgia to India
Music is one of humanity’s most universal pursuits, yet the precise way different cultures divide and organize pitch is remarkably varied. Far from being a single, universal system, tuning is a deeply cultural act — a set of choices about which frequencies feel consonant, how intervals should be spaced, and what the ear has been trained to expect as “correct.” Here is a survey of the major tuning systems found around the world, their logic, and their sonic character.
The Western Equal Temperament and Its Predecessors
The system most familiar to ears shaped by Western pop, classical, and jazz music is twelve-tone equal temperament, or 12-TET, which divides the octave into twelve perfectly equal semitones, each separated by a frequency ratio of the twelfth root of two. This produces intervals that are mathematically convenient and allow instruments to play in any key without retuning, but it is actually a system of controlled compromise. No interval except the octave is acoustically purein 12-TET. The perfect fifth, for instance, is about two cents flatter than the acoustically ideal 3:2 ratio, and the major third is fourteen cents sharper than the pure 5:4 ratio.
The history of how the West arrived at this compromise is richly told in Stuart Isacoff’s Temperament: How Music Became a Battleground for the Great Minds of Western Civilization (Alfred A. Knopf, 2001), and Ross W. Duffin’s How Equal Temperament Ruined Harmony (and Why You Should Care) (W. W. Norton, 2007). The older scholarly backbone for anyone wanting full technical depth is J. Murray Barbour’s Tuning and Temperament: A Historical Survey (Michigan State College Press, 1951), which remains a standard reference decades after its publication and covers dozens of historical systems in rigorous mathematical detail.
The Western twelve-tone equal temperament, for all its global prevalence today, is in the historical and cultural long view a peculiar and quite specific solution to the challenge of organizing pitch. The vast majority of musical traditions have found other solutions, and the resulting diversity of tuning systems represents one of the richest aspects of humanity’s musical heritage.
Arabic and Persian Maqam Systems
Arabic classical music organizes pitch through a system of modes called maqamat (singular: maqam), and the tuning that underlies them is significantly different from Western practice. The Arabic system traditionally recognizes 24 equal divisions of the octave — quarter-tones — doubling the granularity of the Western chromatic scale. This means that half-steps are themselves divided, and certain intervals exist that have no equivalent in 12-TET.
In practice, however, most maqam intervals are not simply quarter-tones added to Western intervals. They are subtler, often involving pitches that fall roughly 50 cents — a quarter-tone — above or below their Western equivalents. The neutral second, for instance, sits between the Western minor second and major second; the neutral third sits between the minor and major third. These neutrals give Arabic music much of its characteristic color and expressiveness. Different Arab countries and regional traditions favor different maqamat and sometimes use slightly different intonations of the same named mode, making the system flexible and orally transmitted rather than mechanically codified. The most authoritative single-volume introduction to Arabic music and its tonal system in English is Habib Hassan Touma’s The Music of the Arabs (Amadeus Press, 1996; originally published in German in 1975), written by a Palestinian composer and ethnomusicologist and covering the history, theory, instruments, and genres of the tradition in considerable depth.
Persian classical music operates with a related but distinct modal system called dastgah, using a set of seven primary modes with their own melodic and emotional identities. Persian intonation is similarly microtonal, with intervals that don’t map neatly onto Western semitones. The koron and sori are accidentals in Persian notation that indicate a pitch lowered or raised by roughly a quarter-tone, acknowledging the importance of these in-between pitches to melodic expression.
Turkish classical music uses yet another refinement. The Ottoman and later Turkish theoretical tradition divides the octave into 53 unequal parts — a system based on the Pythagorean comma — and identifies specific named intervals from this palette. In practice, Turkish makam uses a rich vocabulary of small intervals, and different makam specify not only which pitches to use but characteristic melodic movements, ornaments, and registers. For a focused scholarly treatment of this system, Karl Signell’s Makam: Modal Practice in Turkish Art Music (Asian Music Publications, 1977) remains an important study, based on extensive fieldwork and analysis of the intonational structures used by Turkish classical musicians in practice.
Indian Classical Music: Shruti and Swara
Indian classical music — both the North Indian Hindustani and South Indian Carnatic traditions — is built on a highly sophisticated pitch theory that has been developed over more than two thousand years. The foundational unit is the swara, of which there are seven primary ones corresponding loosely to the Western solfège scale degrees. However, most of these swaras have multiple intonational variants: the second, third, sixth, and seventh degrees each have two forms (komal and tivra, roughly meaning flat and sharp), and the fourth degree also has a raised variant, yielding twelve distinct swara positions — similar in count to Western chromaticism but often differently placed.
Beyond the twelve swaras lies the ancient concept of shruti, traditionally said to number 22 within an octave. The shruti system recognizes that the gaps between swaras are not equal and that small intonational distinctions carry enormous expressive weight. The precise tuning of individual notes within a raga — the melodic framework that governs a performance — is a matter of great subtlety and is part of what defines a raga’s identity. A performer may inflect a particular note slightly higher or lower depending on its melodic context, the direction of movement, and the emotional mood being evoked. This means that Indian classical intonation is partly a theoretical framework and partly a living, context-sensitive practice transmitted through intensive guru-shishya training.
For English-speaking readers, an excellent entry point to this world is The Raga Guide: A Survey of 74 Hindustani Ragas(Nimbus Records, 1999), edited by Joep Bor, with contributions by Suvarnalata Rao, Wim van der Meer, and others. Accompanying four CDs of specially commissioned recordings by leading performers, the guide provides analytical and historical descriptions of 74 ragas, with transcriptions and scale diagrams that illuminate exactly how notes are used, inflected, and prioritized within each framework. It is one of the most usable scholarly resources on the Hindustani tradition available in English.
Indonesian Gamelan
Perhaps no tuning system challenges Western assumptions more fundamentally than the one found in Javanese and Balinese gamelan orchestras. Gamelan instruments — bronze gongs, metallophones, and xylophones — are tuned in two main scales: slendro, a five-note scale, and pelog, a seven-note scale from which five-note subsets are typically used in performance.
What makes gamelan tuning remarkable is that it is not standardized. Each gamelan set is tuned to itself, and two gamelan from different villages may have noticeably different pitches for nominally the same scale degrees. This is considered aesthetically appropriate — each set has its own identity. In slendro, the five notes divide the octave into roughly equal parts, but “roughly” is the operative word: the intervals are deliberately slightly uneven, often with one or two instruments tuned a few cents apart to produce a shimmering acoustic beating effect considered beautiful in Balinese tradition. This deliberate detuning of paired instruments — called ombak — is a prized feature rather than an imperfection.
Furthermore, the octave itself in Balinese gamelan is not always a pure 2:1 ratio. Some instruments are tuned so that their “octaves” are slightly stretched, meaning the system does not anchor itself to the pure harmonic rationale that underlies most other world tuning traditions. This is a genuinely radical departure from the acoustic assumptions shared by virtually every other musical culture. For in-depth coverage of gamelan tuning systems and their broader musical context, the Southeast Asia volume of the Garland Encyclopedia of World Music (Routledge, 1998), edited by Terry E. Miller and Sean Williams, provides authoritative chapters by specialists including R. Anderson Sutton. The ethnomusicologist Sumarsam, a gamelan performer and scholar at Wesleyan University, has also written extensively on Javanese gamelan practice; his book Gamelan: Cultural Interaction and Musical Development in Central Java (University of Chicago Press, 1995) situates the tradition in its full historical and cultural depth.
Georgian Adaptive Intonation
Among the most striking and least-discussed microtonal traditions in the world is the polyphonic vocal music of Georgia, a small country in the South Caucasus. Georgian choral singing — practiced across distinct regional styles in Kartli, Kakheti, Svaneti, and Guria — was inscribed on UNESCO’s Intangible Cultural Heritage list in 2001, yet its tuning system remains largely unknown outside specialist circles. For Western ears shaped by twelve-tone equal temperament, the sound is immediately arresting: ancient, resonant, and operating by rules that seem to belong to an entirely different acoustic universe.
The foundation of Georgian tuning is most clearly visible in the panduri, a traditional fretted folk lute used to accompany singers. The panduri is fretted in seven-tone equal temperament — 7-TET — which divides the octave into seven roughly equal steps of approximately 171 cents each, rather than the twelve steps of 100 cents familiar from Western instruments. Because singers must harmonize with this instrument, Georgian melodies naturally gravitate toward 7-TET as their structural backbone.
What makes the system genuinely complex, however, is that the voices do not simply lock mechanically into a 7-TET grid. Instead, Georgian choral practice involves a sophisticated technique of adaptive intonation: singers continuously adjust their pitch in real time to achieve pure harmonic resonances at moments of vertical agreement. The target intervals are not the slightly compromised ones of any equal temperament, but acoustically pure fifths, octaves, and — most distinctively — suspended fourth chords built from a root, a fourth, and a fifth. This suspended fourth sonority, rather than the triad that anchors Western harmony, is the primary consonance of Georgian polyphony, and it is tuned with remarkable precision across vocal parts.
The result of this tension between 7-TET melodic movement and pure harmonic locking is a scale that employs three distinct step sizes rather than one uniform interval. Ethnomusicologists including Malkhaz Erkvanidze have identified these as a small neutral second of roughly 150–154 cents, a near-7-TET neutral second of roughly 170–172 cents, and a whole step of roughly 200–204 cents — closely approximating the Pythagorean whole tone. By alternating between these three sizes, singers can preserve the characteristic feel of 7-TET melodic motion while ensuring that chords, when they arrive, ring with the clarity of pure acoustic ratios.
Georgian tuning poses one further challenge to Western theoretical assumptions: octave non-equivalence. In Western music, a note is considered harmonically identical to its counterpart in any other octave — a C is a C. In Georgian practice, the precise microtonal inflection of a pitch may differ depending on whether it is sung in the bass or treble register. A note functioning melodically in one vocal part may need to be pitched slightly differently from its nominal octave counterpart in another part, in order to satisfy both the melodic step requirements of that part and the pure harmonic demands of the vertical sonority. This is a conceptual departure of real depth: the system is not organized around fixed, register-independent pitch classes, but around a context-sensitive acoustic logic that treats register as a musically meaningful variable.
For those seeking to transcribe Georgian music into conventional notation, the challenge of finding a temperament that captures all these distinctions is formidable. The most workable solution identified by theorists and transcribers is 34-TET, which preserves excellent fifths while exaggerating the difference between the two neutral second sizes just enough for the ear to perceive the intended unevenness of the scale. It remains an approximation, as any equal temperament must be of a living vocal tradition, but it is currently the closest available notational framework for this music.
Georgian polyphony represents a case of a tuning system that is simultaneously ancient and theoretically sophisticated: grounded in the natural acoustic properties of pure intervals, shaped by the specific resonances of a fretted instrument, and sustained entirely through oral transmission and intensive ensemble practice. It is a tradition that rewards close listening and resists easy categorization within any standard framework of world music theory.
East Asian Systems: China, Japan, and Korea
Chinese music theory developed its own Pythagorean-style system by stacking fifths, producing a twelve-tone chromatic scale called the lǘ. The classical Chinese system emphasized pentatonic subsets of these twelve tones, and the precise tuning of the lǘ was a matter of cosmological as well as musical significance, tied to theories of the five elements and the harmony of the universe. Chinese classical and folk musics use scales with a strong pentatonic orientation, though regional folk styles incorporate a variety of additional inflections and ornamental microtones. A comprehensive reference is the East Asia volume of the Garland Encyclopedia of World Music (Routledge, 2002), edited by Robert C. Provine, Yosihiko Tokumaru, and J. Lawrence Witzleben, which covers Chinese, Japanese, and Korean musical systems in scholarly depth.
Japanese traditional music uses several distinct scales depending on context. Court music (gagaku) uses a system derived from the Chinese lǘ, while shamisen, koto, and shakuhachi music use scales with different interval distributions, some of which include half-steps in unusual positions that give Japanese traditional music its distinctive sound. The shakuhachi flute in particular is capable of extreme pitch bending and uses microtonal inflection — called meri and kari depending on whether the pitch is lowered or raised — as an essential expressive tool rather than an ornament.
Korean traditional music uses a pentatonic basis as well, with regional distinctions between the melodic styles of the east coast, the west, and the south. Korean folk music, particularly the sinawi and pansori traditions, incorporates significant microtonal bending and ornamentation, with pitches that are expressive and context-dependent rather than fixed.
African Tuning Traditions
Africa is an enormous continent with thousands of distinct musical traditions, and it would be a mistake to speak of a single “African” tuning system. That said, several broad patterns are worth noting. The amadinda and akadinda xylophones of the Baganda people of Uganda use an equiheptatonic scale — seven notes dividing the octave into roughly equal parts — which produces intervals noticeably different from any Western scale. Like gamelan, these instruments are tuned by ear and tradition rather than by any mathematical formula, and the desired sound includes a slight roughness or beating that is considered tonally alive and vibrant.
Many African plucked-string instruments, thumb pianos (mbira), and xylophones across sub-Saharan traditions are similarly tuned to locally specific scales that defy easy mapping onto Western pitch categories. The mbira dzavadzimu of the Shona people of Zimbabwe, for example, uses a tuning that varies by region and lineage, and the instrument is often played alongside a gourd resonator fitted with buzzers precisely to add a complex, rattling timbre to each note. The acoustic result is rich with overtones that interact with the pitches in ways that blur any simple notion of a “pure” note. The definitive scholarly work on this tradition is Paul F. Berliner’s The Soul of Mbira: Music and Traditions of the Shona People of Zimbabwe (University of California Press, 1978; reissued by University of Chicago Press), which provides not only a detailed account of mbira tuning — including actual measured tuning data in its appendices — but a full ethnographic portrait of the instrument’s role in Shona spiritual and social life. It is widely regarded as one of the finest books in the entire ethnomusicology literature.
Comments
Post a Comment