150edo: Difference between revisions

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{{Infobox ET}}
'''150edo''' is the [[equal division of the octave]] into 150 equal steps exactly 8 cents each. This means eleven such steps are 88 cents, relating 150edo to the [[88cET|88cET]] nonoctave tuning. 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|75edo]], including 20000/19683 and 2109375/2097152. It provides a good tuning for [[Tetracot_family#Octacot|Tetracot family]], for which 88 cents provides a generator.
'''150edo''' is the [[equal division of the octave]] into 150 equal steps exactly 8 cents each. This means eleven such steps are 88 cents, relating 150edo to the [[88cET|88cET]] nonoctave tuning. 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|75edo]], including 20000/19683 and 2109375/2097152. It provides a good tuning for [[Tetracot_family#Octacot|Tetracot family]], for which 88 cents provides a generator.


[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->
[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->

Revision as of 19:08, 4 October 2022

← 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

150edo is the equal division of the octave into 150 equal steps exactly 8 cents each. This means eleven such steps are 88 cents, relating 150edo to the 88cET nonoctave tuning. 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.