User:Squib/List of tunings: Difference between revisions
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This page is a catalog of tunings according to my in-progress system of music theory and describing tunings. | This page is a catalog of tunings according to my in-progress system of music theory and describing tunings. | ||
{| class="wikitable" | {| class="wikitable" | ||
| Line 7: | Line 6: | ||
!Ploidacot name | !Ploidacot name | ||
!Associated temperaments | !Associated temperaments | ||
!notes | |||
|- | |- | ||
|1 | |1 | ||
| Line 12: | Line 12: | ||
|haploid monocot | |haploid monocot | ||
|pythagorean, meantone, schismic | |pythagorean, meantone, schismic | ||
|note about chain-of-fifths temperaments such as meantone | |||
|- | |- | ||
|2 | |2 | ||
| | | | ||
|dicot | |dicot | ||
| | |rastmic, mohajira | ||
|strong 2.3.11 | |||
|- | |- | ||
|2 | |2 | ||
| | | | ||
|alpha-dicot | |alpha-dicot | ||
|semaphore | |semaphore, monzismic | ||
|3.5 fourths ≈ 11/4 | |||
|- | |- | ||
|2 | |2 | ||
| Line 27: | Line 30: | ||
|diploid | |diploid | ||
|diaschismic | |diaschismic | ||
|average of meantone and schismic 5/4 | |||
|- | |- | ||
|3 | |3 | ||
| Line 32: | Line 36: | ||
|tricot | |tricot | ||
|slendric | |slendric | ||
|strong 2.3.7 | |||
|- | |- | ||
|3 | |3 | ||
| | | | ||
|alpha-tricot | |alpha-tricot | ||
| | |2197/2187 (subset of kleismic) | ||
|strong 2.3.25.13 (splits 9/8 into 24:25:26:27) | |||
|- | |- | ||
|3 | |3 | ||
| | | | ||
|beta-tricot | |beta-tricot | ||
| | |cake (45/44), porcupine (55/54), 4000/3993 | ||
|good 11/10 but not 5 or 11 (gravity doubles it and does have both) | |||
|- | |- | ||
|3 | |3 | ||
| | | | ||
|triploid | |triploid | ||
| | |augmented | ||
|12edo major third | |||
|- | |- | ||
|4 | |4 | ||
| Line 52: | Line 60: | ||
|tetracot | |tetracot | ||
|tetracot | |tetracot | ||
|2.3.5.11 | |||
|- | |- | ||
|4 | |4 | ||
| | | | ||
|alpha-tetracot | |alpha-tetracot | ||
|vulture | |||
| | | | ||
|- | |- | ||
| Line 61: | Line 71: | ||
| | | | ||
|beta-tetracot | |beta-tetracot | ||
| | |99/98 243/242 | ||
|2.3.7.11 | |||
|- | |- | ||
|4 | |4 | ||
| Line 67: | Line 78: | ||
|gamma-tetracot | |gamma-tetracot | ||
| | | | ||
|has a major third as flat as 12edo's is sharp | |||
|- | |- | ||
|4 | |4 | ||
| Line 72: | Line 84: | ||
|diploid dicot | |diploid dicot | ||
|hemipyth | |hemipyth | ||
|combination of all 2-color tunings | |||
|- | |- | ||
|4 | |4 | ||
| | | | ||
|diploid alpha-dicot | |diploid alpha-dicot | ||
|shrutar | |||
| | | | ||
|- | |- | ||
| Line 81: | Line 95: | ||
| | | | ||
|tetraploid | |tetraploid | ||
| | |diminished | ||
|12edo minor third | |||
|- | |- | ||
|5 | |5 | ||
| Line 87: | Line 102: | ||
|pentacot | |pentacot | ||
| | | | ||
|4.8 fifths ≈ 7/1 (0.5¢ error) | |||
|- | |- | ||
|5 | |5 | ||
| Line 92: | Line 108: | ||
|alpha-pentacot | |alpha-pentacot | ||
|magic | |magic | ||
| | |||
|- | |- | ||
|5 | |5 | ||
| | | | ||
|beta-pentacot | |beta-pentacot | ||
| | |||
| | | | ||
|- | |- | ||
| Line 102: | Line 120: | ||
|gamma-pentacot | |gamma-pentacot | ||
|amity | |amity | ||
|very accurate 2.3.5.7 but the 5 and 7 are awkward in opposite directions | |||
|- | |- | ||
|5 | |5 | ||
| | | | ||
|delta-pentacot | |delta-pentacot | ||
| | |||
| | | | ||
|- | |- | ||
| Line 122: | Line 142: | ||
|alpha-hexacot | |alpha-hexacot | ||
|kleismic | |kleismic | ||
|2.3.5.13 | |||
|- | |- | ||
|6 | |6 | ||
| | | | ||
|beta-hexacot | |beta-hexacot | ||
| | |gravity | ||
|2.3.5.11 | |||
|- | |- | ||
|6 | |6 | ||
| Line 177: | Line 199: | ||
|alpha-heptacot | |alpha-heptacot | ||
|orwell | |orwell | ||
|- | |||
|7 | |||
| | |||
|beta-heptacot | |||
|sensi | |||
|- | |||
|9 | |||
| | |||
|wau-enneacot | |||
|superkleismic | |||
|- | |- | ||
|15 | |15 | ||
| | | | ||
| | |something-15cot | ||
|luna | |luna | ||
|} | |} | ||
Latest revision as of 04:28, 9 December 2025
This page is a catalog of tunings according to my in-progress system of music theory and describing tunings.
| Colors | Diagram | Ploidacot name | Associated temperaments | notes |
|---|---|---|---|---|
| 1 | haploid monocot | pythagorean, meantone, schismic | note about chain-of-fifths temperaments such as meantone | |
| 2 | dicot | rastmic, mohajira | strong 2.3.11 | |
| 2 | alpha-dicot | semaphore, monzismic | 3.5 fourths ≈ 11/4 | |
| 2 | diploid | diaschismic | average of meantone and schismic 5/4 | |
| 3 | tricot | slendric | strong 2.3.7 | |
| 3 | alpha-tricot | 2197/2187 (subset of kleismic) | strong 2.3.25.13 (splits 9/8 into 24:25:26:27) | |
| 3 | beta-tricot | cake (45/44), porcupine (55/54), 4000/3993 | good 11/10 but not 5 or 11 (gravity doubles it and does have both) | |
| 3 | triploid | augmented | 12edo major third | |
| 4 | tetracot | tetracot | 2.3.5.11 | |
| 4 | alpha-tetracot | vulture | ||
| 4 | beta-tetracot | 99/98 243/242 | 2.3.7.11 | |
| 4 | gamma-tetracot | has a major third as flat as 12edo's is sharp | ||
| 4 | diploid dicot | hemipyth | combination of all 2-color tunings | |
| 4 | diploid alpha-dicot | shrutar | ||
| 4 | tetraploid | diminished | 12edo minor third | |
| 5 | pentacot | 4.8 fifths ≈ 7/1 (0.5¢ error) | ||
| 5 | alpha-pentacot | magic | ||
| 5 | beta-pentacot | |||
| 5 | gamma-pentacot | amity | very accurate 2.3.5.7 but the 5 and 7 are awkward in opposite directions | |
| 5 | delta-pentacot | |||
| 5 | pentaploid | |||
| 6 | hexacot | |||
| 6 | alpha-hexacot | kleismic | 2.3.5.13 | |
| 6 | beta-hexacot | gravity | 2.3.5.11 | |
| 6 | gamma-hexacot | |||
| 6 | delta-hexacot | |||
| 6 | epsilon-hexacot | |||
| 6 | diploid tricot | |||
| 6 | diploid alpha-tricot | |||
| 6 | diploid beta-tricot | |||
| 6 | triploid dicot | |||
| 6 | triploid alpha-tricot | |||
| 6 | hexaploid | |||
| 7 | alpha-heptacot | orwell | ||
| 7 | beta-heptacot | sensi | ||
| 9 | wau-enneacot | superkleismic | ||
| 15 | something-15cot | luna |