150edo

← 149edo

150edo

151edo →

Prime factorization	2 × 3 × 52
Step size	8 ¢
Fifth	88\150 (704 ¢) (→ 44\75)
Semitones (A1:m2)	16:10 (128 ¢ : 80 ¢)
Consistency limit	3
Distinct consistency limit	3

Theory

Every 11th step of 150edo is equal to the 88cET nonoctave tuning, which is also represented as octacot through a regular temperament theory perspective. It tempers out 245/243, 4000/3969 and 2401/2400 in the 7-limit, 896/891, 385/384 and 1375/1372 in the 11-limit, and 352/351, 364/363, 676/675 and 1575/1573 in the 134-limit. It is contorted in the 5-limit, tempering out the same commas as 75edo, including 20000/19683 and 2109375/2097152. It provides a good tuning for Tetracot family, for which 88 cents provides a generator.

Regular temperament properties

Rank-2 temperaments

Table of rank-2 temperaments by generator

Periods per 8ve	Generator (Reduced)	Cents (Reduced)	Associated Ratio	Temperaments
1	11\150	88.00	21/20	Octacot (150e) / october (150)
1	29\150	232.00	8/7	Mothra (150be)