1225edo

From Xenharmonic Wiki
Jump to navigation Jump to search
← 1224edo1225edo1226edo →
Prime factorization 52 × 72
Step size 0.979592¢
Fifth 717\1225 (702.367¢)
Semitones (A1:m2) 119:90 (116.6¢ : 88.16¢)
Dual sharp fifth 717\1225 (702.367¢)
Dual flat fifth 716\1225 (701.388¢)
Dual major 2nd 208\1225 (203.755¢)
Consistency limit 3
Distinct consistency limit 3

1225 equal divisions of the octave (1225edo), or 1225-tone equal temperament (1225tet), 1225 equal temperament (1225et) when viewed from a regular temperament perspective, is the tuning system that divides the octave into 1225 equal parts of about 0.98 ¢ each.

Theory

Approximation of odd harmonics in 1225edo
Harmonic 3 5 7 9 11 13 15 17 19 21 23
Error absolute (¢) +0.412 -0.355 -0.010 -0.155 +0.192 -0.038 +0.058 -0.139 +0.283 +0.403 -0.356
relative (%) +42 -36 -1 -16 +20 -4 +6 -14 +29 +41 -36
Steps
(reduced)
1942
(717)
2844
(394)
3439
(989)
3883
(208)
4238
(563)
4533
(858)
4786
(1111)
5007
(107)
5204
(304)
5381
(481)
5541
(641)

The first seven prime harmonics with less than 1 standard deviation error in 1225edo are: 7, 13, 17, 29, 31, 41, 43.