List of regular temperaments
From Xenharmonic Reference
- Main article: Regular temperament
Rank-2
| 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 | 692-697c |
| 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 | 695-697c | |
| 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 | 692-694c | |
| 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 | 709-720c |
| 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 | 709-711c | |
| Mabilic | Mabilic | 2.5.7 | alpha-triseph | 7, 9 | antidiatonic, armotonic, 9L 7s | Basic antidiatonic temperament with no 3. | mabilisma | 668-680c |
| Trismegistus | 2.3.5.7 | alpha-triseph | 16, 25 | antidiatonic, armotonic, 9L 7s | High-accuracy but high complexity extension of prime 3. | gamelisma, magisma | 672-675c | |
| Semabila | 2.3.5.7 | alpha-triseph | 9, 25 | antidiatonic, armotonic, 9L 7s | Combination of mabilic and semaphore. | 49/48, 28672/28125 | 668-672c | |
| Mavila | 2.3.5.7 | monocot | 7, 9 | antidiatonic, armotonic, 7L 9s | Exotemperament serving as an antidiatonic analog of meantone. | 36/35, 135/128 | 675-680c | |
| 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 | 161-166c |
| 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 | 161-163c | |
| 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 | 231-234c |
| Mothra | 2.3.5.7 | tricot | 26, 31 | 1L 4s, machinoid, 5L 6s | Meantone extension of the above. | 81/80, gamelisma | 231c | |
| Rodan | 2.3.5.7 | tricot | 41, 46 | 1L 4s, machinoid, 5L 6s | More accurate extension of the above. | 245/243, gamelisma | 234c | |
| Miracle | 2.3.5.7.11 | hexacot | 31, 41 | antisinatonic, 10L 1s | Generated by a 15/14~16/15 semitone, two of which reach a slendric 8/7. | 225/224, 243/242, gamelisma | 117c | |
| Valentine | 2.3.5.7 | enneacot | 15, 16 | 15L 1s, Carlos Alpha | Scale with small steps strongly associated with Carlos Alpha. | 126/125, gamelisma | 78c | |
| Diaschismic | Diaschismic | 2.3.5.17 | diploid monocot | 12, 34 | jaric, 10L 2s | Temperament characterized by a perfect semioctave and a sharpened fifth or semitone generator. Two generators down reaches 5/4. | diaschisma | 100-111c |
| Septimal Diaschismic | 2.3.5.7.17 | diploid monocot | 12, 34 | jaric, 10L 2s | Rather complex 7-limit extension of the above. | diaschisma, 126/125 | 103-104c | |
| Srutal | 2.3.5.7.17 | diploid monocot | 46, 80 | jaric, 10L 2s | Very complex but accurate 7-limit diaschismic. | diaschisma, ragisma | 104-105c | |
| Pajara | 2.3.5.7.17 | diploid monocot | 12, 22 | jaric, 10L 2s | Jubilic archytas diaschismic temperament. Contains jubilic chord structure and is strongly associated with 22edo. | diaschisma, 50/49 | 109-111c | |
| Orgonismic | Orgone, Orgonic | 2.7.11 | trimech | 15, 26 | 4L7s | A high-accuracy rank-2 temperament generated by a tempered 77/64. | 65536/65219 | 320-325c |
| Schismic | Schismic | 2.3.5 | monocot | 41, 53 | harder diatonic, p-chromatic | 5-limit interpretation of Pythagorean tuning, best tuned when the fifth is flattened by a fraction of a cent. | schisma | 701-702c |
| Garibaldi | 2.3.5.7 | monocot | 41, 53 | harder diatonic, p-chromatic | 7-limit interpretation of Pythagorean tuning. Despite being an extension of the above, it is most accurate when the fifth is tuned slightly sharp. | schisma, 225/224 | 702-703c | |
| Magic | Magic | 2.3.5 | alpha-pentacot | 19, 22 | mosh, sephiroid | Stacks five flattened major thirds to form a perfect twelfth. | magisma | 378-382c |
| Rastmic | Rastmic | 2.3.11 | dicot | 7, 10 | mosh, dicoid | Maps 11/9 and its fifth complement to a perfect neutral third. | 243/242 | 345-355c |
| Mohajira | 2.3.5.11 | dicot | 24, 31 | mosh, dicoid | Meantone extension of the above. | 243/242, 81/80 | 347-350c | |
| Interclassical | Interclassical, Dicot | 2.3.5 | dicot | 7, 10 | mosh, dicoid | 5-limit exotemperament equating 5/4 and 6/5 to the same interval. | 25/24 | 670-680c, 720-730c |
| Father | Father | 2.3 | monocot | 3, 5 | antipentic | Extremely inaccurate exotemperament which equates 5/4 with 4/3. | 16/15 | 720-800c |
| Interseptimal | Interseptimal, Semaphore | 2.3.7 | alpha-dicot | 5, 19 | 4L 1s, semiquartal | Equipentatonic, inaccurate 7-limit temperament. | 49/48 | 240-250c |
| Tetracot [rename] | Tetracot [rename] | 2.3.5.11 | tetracot | |||||
| Monkey | 2.3.5.7.11 | tetracot | ||||||
| Bunya | 2.3.5.7.11 | tetracot | ||||||
