List of regular temperaments: Difference between revisions

From Xenharmonic Reference
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Revision as of 20:22, 19 December 2025

Main article: Regular temperament
Rank-2 Temperaments
Family Name Subgroup Ploidacot ETs Usual Scale Type Description Commas Generator size (CWE)
Syntonic Meantone 2.3.5 monocot 7, 12 softer diatonic, m-chromatic Common historical temperament for 5-limit diatonic harmony. 81/80 503c
Septimal Meantone 2.3.5.7 monocot 19, 31 softer diatonic, m-chromatic Natural extension of the above to 2...7. 81/80, 225/224 503c
Flattone 2.3.5.7 monocot 19, 26 softer diatonic, m-chromatic Less accurate extension, more melodic intuition, easily extends to higher limits. 7-form version of meantone. 525/512, 81/80
Archy Archy 2.3.7 monocot 5, 22 soft pentic, harder diatonic, p-chromatic 2.3.7 counterpart of meantone, which sharpens the fifth. 64/63 491c
Superpyth 2.3.5.7 monocot 22, 27 soft pentic, harder diatonic, p-chromatic Extension of the above to 2...7, favoring flatter tunings. 64/63, 245/243 490c
Mabilic Mabilic 2.5.7 alpha-triseph 7, 9 antidiatonic, armotonic, 9L 7s Basic antidiatonic temperament with no 3. mabilisma
Trismegistus 2.3.5.7 alpha-triseph 16, 25 antidiatonic, armotonic, 9L 7s High-accuracy but high complexity extension of prime 3. gamelisma, magisma
Semabila 2.3.5.7 alpha-triseph 9, 25 antidiatonic, armotonic, 9L 7s Combination of mabilic and semaphore. 49/48, 28672/28125
Mavila 2.3.5.7 monocot 7, 9 antidiatonic, armotonic, 7L 9s Exotemperament serving as an antidiatonic analog of meantone. 36/35, 135/128
Porcupine Porcupine 2.3.5.11 omega-tricot 15, 22 onyx, pine Moderate-accuracy 2.3.5.11 temperament with a ~160c generator and a heptatonic MOS. 250/243, 100/99
Septimal Porcupine 2.3.5.7.11 omega-tricot 15, 22 onyx, pine Extension of the above to the full 11-limit. 250/243, 100/99, 64/63
Gamelic Slendric, Wonder 2.3.7 tricot 5, 31 1L 4s, machinoid, 5L 6s Splits the fifth in 3 parts, each of which is 8/7. Little relation to actual Slendro tuning. Contains a pentatonic similar to porcupine's heptatonic. gamelisma
Mothra 2.3.5.7 tricot 26, 31 1L 4s, machinoid, 5L 6s Meantone extension of the above. 81/80, gamelisma
Rodan 2.3.5.7 tricot 41, 46 1L 4s, machinoid, 5L 6s More accurate extension of the above. 245/243, gamelisma
Valentine 2.3.5.7 enneacot 15, 16 15L 1s, Carlos Alpha Scale with small steps strongly associated with Carlos Alpha. 126/125, gamelisma
Diaschismic Diaschismic 2.3.5.7.17 diploid monocot 12, 34 2L 8s, 10L 2s Temperament characterized by a perfect semioctave and a sharpened fifth or semitone generator. Two generators down reaches 5/4. diaschisma, 126/125
Srutal 2.3.5.7.17 diploid monocot 46, 80 2L 8s, 10L 2s Very complex but accurate 7-limit diaschismic. diaschisma, ragisma
Pajara 2.3.5.7.17 diploid monocot 12, 22 2L 8s, 10L 2s Jubilic archytas diaschismic temperament. Contains jubilic chord structure and is strongly associated with 22edo. diaschisma, 50/49
Orgonismic Orgone 2.7.11 15, 26 4L7s A high-accuracy rank-2 temperament generated by a tempered 77/64. 65536/65219 323.3c