188edo: Difference between revisions

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{{Infobox ET}}
{{Infobox ET}}
'''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.
{{EDO intro}}
 
188edo 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. It supports the 7-limit reenactment temperament, described as 188 & 360.
 
188cef val is a tuning for the [[hemigari]] temperament in the 11- and 13-limit.


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

Revision as of 18:33, 3 May 2023

← 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

Template:EDO intro

188edo 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. It supports the 7-limit reenactment temperament, described as 188 & 360.

188cef val is a tuning for the hemigari temperament in the 11- and 13-limit.