1407edo

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1407edo

1408edo →

Prime factorization	3 × 7 × 67
Step size	0.852878 ¢
Fifth	823\1407 (701.919 ¢)
Semitones (A1:m2)	133:106 (113.4 ¢ : 90.41 ¢)
Consistency limit	11
Distinct consistency limit	11

Theory

Approximation of prime harmonics in 1407edo

Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	+0.000	-0.036	+0.040	+0.044	-0.358	+0.411	-0.051	+0.142	+0.297	-0.153	+0.380
	Relative (%)	+0.0	-4.2	+4.7	+5.2	-42.0	+48.1	-6.0	+16.6	+34.8	-17.9	+44.6
Steps (reduced)		1407 (0)	2230 (823)	3267 (453)	3950 (1136)	4867 (646)	5207 (986)	5751 (123)	5977 (349)	6365 (737)	6835 (1207)	6971 (1343)

1407edo is excellent in the 7-limit, in which it supports the 441 & 1407 akjayland temperament with period 21. Just like 441edo, it tempers out the akjaysma and the landscape comma. However, unlike 441edo it does not temper out the tritrizo comma, since 1407 is not divisible by 9.

It tunes the pure bastille temperament in the 1407eff val and the marvelous bastille temperament in the patent val in the 13-limit.

1407's divisors are 1, 3, 7, 21, 67, 201, 469.

Regular temperament properties

Rank-2 temperaments

Table of rank-2 temperaments by generator

Periods per 8ve	Generator (Reduced)	Cents (Reduced)	Associated Ratio	Temperaments
1	814\1407	694.243	[381 0 -159 -4⟩	Bastille (2.5.7) / pure bastille (1407eff) / marvelous bastille (1407)
3	292\1407	249.040	1536/1331	Tribilo
7	10\1407	8.529	1029/1024	Nitrogen
21	215\441 (5\441)	585.03 (13.61)	91875/65536 (126/125)	Akjayland