1272edo

Revision as of 19:34, 19 December 2024 by Eliora (talk | contribs) (Created page with "{{Infobox ET}} {{EDO intro|1272}} 1272edo is consistent in the 5-odd-limit, as well as being a strong 2.3.7.13.21.23 subgroup tuning. === Odd harmonics === {{harmon...")
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Template:EDO intro

← 1271edo 1272edo 1273edo →
Prime factorization 23 × 3 × 53
Step size 0.943396 ¢ 
Fifth 744\1272 (701.887 ¢) (→ 31\53)
Semitones (A1:m2) 120:96 (113.2 ¢ : 90.57 ¢)
Consistency limit 5
Distinct consistency limit 5

1272edo is consistent in the 5-odd-limit, as well as being a strong 2.3.7.13.21.23 subgroup tuning.

Odd harmonics

Approximation of odd harmonics in 1272edo
Harmonic 3 5 7 9 11 13 15 17 19 21 23
Error Absolute (¢) -0.068 -0.465 +0.042 -0.136 -0.375 +0.038 +0.411 -0.238 -0.343 -0.026 +0.028
Relative (%) -7.2 -49.3 +4.5 -14.5 -39.7 +4.1 +43.5 -25.3 -36.4 -2.8 +2.9
Steps
(reduced)
2016
(744)
2953
(409)
3571
(1027)
4032
(216)
4400
(584)
4707
(891)
4970
(1154)
5199
(111)
5403
(315)
5587
(499)
5754
(666)

Subsets and supersets

Since 1272 factors as 23 × 3 × 53, 1272edo has subset edos 1, 2, 3, 4, 6, 8, 12, 24, 53, 106, 159, 212, 318, 424, 636. This list has many notable systems such as 12edo, 24edo, 53edo, 159edo, and 212edo.