231edo: Difference between revisions
→Theory: clarify (carlos alpha is related to 77et) |
|||
| Line 13: | Line 13: | ||
231 years is the number of years in a 41 out of 231 leap week cycle, which corresponds to a 41 & 149 temperament tempering out 132055/131072, 166375/165888, and 2460375/2458624. This type of solar calendar leap rule scale may actually be of more use to harmony, since a 41 note subset mimics [[41edo]], a rather useful edo harmonically, and it preserves the simple commas mentioned above. | 231 years is the number of years in a 41 out of 231 leap week cycle, which corresponds to a 41 & 149 temperament tempering out 132055/131072, 166375/165888, and 2460375/2458624. This type of solar calendar leap rule scale may actually be of more use to harmony, since a 41 note subset mimics [[41edo]], a rather useful edo harmonically, and it preserves the simple commas mentioned above. | ||
Since | 231 = 3 × 7 × 11, with subset edos 3, 7, 11, 21, 33, and 77. Since it contains [[77edo]], it can be used for playing such a tuning of the [[Carlos Alpha]] scale. | ||
=== Odd harmonics === | === Odd harmonics === | ||