List of regular temperaments: Difference between revisions
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correct CWE for Meantone |
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Main article: [[Regular temperament]] | :''Main article: [[Regular temperament]]'' | ||
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Revision as of 14:52, 13 December 2025
- Main article: Regular temperament
| Family | Name | Subgroup | Ploidacot | ETs | Usual Scale Type | Description | Commas | Badness (Cangwu) | 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 | .778 | 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 | .834 | 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 | .803 | 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 | 1.298 | 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 | |||
