5L 3s: Difference between revisions
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* 18edo can be used for a large L/s ratio of 3, (thus 18edo oneirotonic is distorted 17edo diatonic), or for nearly pure 9/8 and 7/6. | * 18edo can be used for a large L/s ratio of 3, (thus 18edo oneirotonic is distorted 17edo diatonic), or for nearly pure 9/8 and 7/6. | ||
* 31edo can be used to make the major mos3rd a near-just 5/4. | * 31edo can be used to make the major mos3rd a near-just 5/4. | ||
The sizes of the generator, large step and small step of oneirotonic are as follows in various A-Team tunings. | The sizes of the generator, large step and small step of oneirotonic are as follows in various A-Team tunings. | ||
{| class="wikitable right-2 right-3 right-4 right-5 | {| class="wikitable right-2 right-3 right-4 right-5" | ||
|- | |- | ||
! | ! | ||
| Line 487: | Line 485: | ||
! [[18edo]] | ! [[18edo]] | ||
! [[31edo]] | ! [[31edo]] | ||
! [[POTE tuning]] | ! [[POTE tuning]] | ||
! JI intervals represented (2.9.5.21 subgroup) | ! JI intervals represented (2.9.5.21 subgroup) | ||
| Line 495: | Line 492: | ||
| 7\18, 466.67 | | 7\18, 466.67 | ||
| 12\31, 464.52 | | 12\31, 464.52 | ||
| 464.14 | | 464.14 | ||
| 21/16 | | 21/16 | ||
| Line 503: | Line 499: | ||
| 3\18, 200.00 | | 3\18, 200.00 | ||
| 5\31, 193.55 | | 5\31, 193.55 | ||
| 192.42 | | 192.42 | ||
| 9/8, 10/9 | | 9/8, 10/9 | ||
| Line 511: | Line 506: | ||
| 1\18, 66.66 | | 1\18, 66.66 | ||
| 2\31, 77.42 | | 2\31, 77.42 | ||
| 79.30 | | 79.30 | ||
| 21/20 | | 21/20 | ||
|} | |} | ||
Trivia; A-Team can be tuned by ear, by tuning a chain of pure harmonic sevenths and taking every other note. This corresponds to using a generator of 64/49 = 462.34819 cents. A chain of fourteen 7/4's are needed to tune the 8-note oneirotonic MOS. This produces a tuning close to 13edo. | |||
=== Petrtri (13&21) === | === Petrtri (13&21) === | ||