400edo: Difference between revisions
No edit summary |
No edit summary |
||
| Line 1: | Line 1: | ||
'''400edo''' is the [[EDO|equal division of the octave]] into 400 parts of exact 3 cents each. It tempers out the unidecma, 31381059609/31250000000 and the qintosec comma, 140737488355328/140126044921875 in the 5-limit; 2401/2400, 1959552/1953125, and 14348907/14336000 in the 7-limit; 5632/5625, 9801/9800, 117649/117612, and 131072/130977 in the 11-limit; 676/675, 1001/1000, 1716/1715, 4096/4095, and 39366/39325 in the 13-limit, supporting the [[Breedsmic temperaments|decoid temperament]] and the [[Breedsmic temperaments|quinmite temperament]]. | '''400edo''' is the [[EDO|equal division of the octave]] into 400 parts of exact 3 cents each. It tempers out the unidecma, 31381059609/31250000000 and the qintosec comma, 140737488355328/140126044921875 in the 5-limit; 2401/2400, 1959552/1953125, and 14348907/14336000 in the 7-limit; 5632/5625, 9801/9800, 117649/117612, and 131072/130977 in the 11-limit; 676/675, 1001/1000, 1716/1715, 4096/4095, and 39366/39325 in the 13-limit, supporting the [[Breedsmic temperaments|decoid temperament]] and the [[Breedsmic temperaments|quinmite temperament]]. | ||
400edo doubles [[200edo]], which holds a record for the best 3/2 fifth approximation. 400 is also the number of years in the Gregorian calendar's leap cycle. | 400edo doubles [[200edo]], which holds a record for the best 3/2 fifth approximation. 400 is also the number of years in the Gregorian calendar's leap cycle. 400edo supports the Sym454 calendar scale with 231\400 as the generator, which can be treated as 1/3 syntonic comma meantone. | ||
==Scales== | ==Scales== | ||
| Line 7: | Line 7: | ||
*[[Huntington10]] | *[[Huntington10]] | ||
*[[Huntington17]] | *[[Huntington17]] | ||
*LeapWeek[71] | |||
*LeapDay[97]. | |||
[[Category:Equal divisions of the octave]] | [[Category:Equal divisions of the octave]] | ||