188edo: Difference between revisions

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'''188edo''' is the [[EDO|equal division of the octave]] into 188 parts of 6.3830 cents each. It is closely related to [[94edo]], but the patent vals differ on the mapping for 5. It tempers out 129140163/128000000 (graviton) and 268435456/263671875 (mabila comma) in the 5-limit; 2401/2400, 19683/19600, and 110592/109375 in the 7-limit. Using the patent val, it tempers out 176/175, 1331/1323, 3773/3750, and 16896/16807 in the 11-limit; 351/350, 352/351, 676/675, 1573/1568, and 16848/16807 in the 13-limit.
'''188edo''' is the [[EDO|equal division of the octave]] into 188 parts of 6.3830 cents each. It is closely related to [[94edo]], but the patent vals differ on the mapping for 5. It tempers out 129140163/128000000 (graviton) and 268435456/263671875 (mabila comma) in the 5-limit; 2401/2400, 19683/19600, and 110592/109375 in the 7-limit. Using the patent val, it tempers out 176/175, 1331/1323, 3773/3750, and 16896/16807 in the 11-limit; 351/350, 352/351, 676/675, 1573/1568, and 16848/16807 in the 13-limit.


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

Revision as of 21:16, 4 October 2022

← 187edo 188edo 189edo →
Prime factorization 22 × 47
Step size 6.38298 ¢ 
Fifth 110\188 (702.128 ¢) (→ 55\94)
Semitones (A1:m2) 18:14 (114.9 ¢ : 89.36 ¢)
Consistency limit 9
Distinct consistency limit 9

188edo is the equal division of the octave into 188 parts of 6.3830 cents each. It is closely related to 94edo, but the patent vals differ on the mapping for 5. It tempers out 129140163/128000000 (graviton) and 268435456/263671875 (mabila comma) in the 5-limit; 2401/2400, 19683/19600, and 110592/109375 in the 7-limit. Using the patent val, it tempers out 176/175, 1331/1323, 3773/3750, and 16896/16807 in the 11-limit; 351/350, 352/351, 676/675, 1573/1568, and 16848/16807 in the 13-limit.