1944edo

← 1943edo

1944edo

1945edo →

Prime factorization	23 × 35
Step size	0.617284 ¢
Fifth	1137\1944 (701.852 ¢) (→ 379\648)
Semitones (A1:m2)	183:147 (113 ¢ : 90.74 ¢)
Consistency limit	5
Distinct consistency limit	5

Theory

1944edo is consistent in the 5-odd-limit to which it provides good approximation, and a near-perfect 15/8, but it is only consistent that far since harmonic 7 is about halfway between its steps. In the 5-limit, it tempers out the luna comma, [38 -2 -15⟩. In the 1944d val in the 7-limit, it is a landscape system tempering out 250047/250000, and as a consequence it tunes the 24th-octave chromium temperament, providing a tuning close to POTE tuning.

In higher limits, 1944edo is a tuning for the jamala temperament in the 2.5.11.13.19.41.47 subgroup, for which 1944edo provides good approximation (except for the 13th harmonic). Overall, the best subgroup for 1944edo is 2.3.5.11.17.19.29.31.41.47.

Odd harmonics

Approximation of odd harmonics in 1944edo

Harmonic		3	5	7	9	11	13	15	17	19	21	23
Error	Absolute (¢)	-0.103	+0.106	-0.307	-0.206	-0.083	+0.213	+0.003	-0.017	+0.018	+0.207	+0.121
	Relative (%)	-16.7	+17.2	-49.8	-33.4	-13.5	+34.5	+0.5	-2.8	+2.9	+33.5	+19.6
Steps (reduced)		3081 (1137)	4514 (626)	5457 (1569)	6162 (330)	6725 (893)	7194 (1362)	7595 (1763)	7946 (170)	8258 (482)	8539 (763)	8794 (1018)

Subsets and supersets

Since 1944 factors into 2³ × 3⁵, 1944edo has subset edos 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 243, 324, 486, 648, and 972.

Regular temperament properties

Rank-2 temperaments

Table of rank-2 temperaments by generator

Periods per 8ve	Generator*	Cents*	Associated ratio*	Temperaments
1	313\1944	193.210	262144/234375	Luna (5-limit)
24	944\1944 (53\1944)	582.716 (32.716)	7/5 (?)	Chromium (1944d)
72	892\1944 (1\1944)	550.617 (0.617)	73205/53248 (?)	Jamala

* Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct