198edo: Difference between revisions

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Like 99, it tempers out [[2401/2400]], [[3136/3125]], [[4375/4374]], [[5120/5103]], [[6144/6125]] and [[10976/10935]] in the 7-limit. In the 11-limit, [[3025/3024]], [[3388/3375]], [[9801/9800]], [[14641/14580]], and [[16384/16335]]; in the 13-limit, [[352/351]], [[676/675]], [[847/845]], [[1001/1000]], [[1716/1715]], [[2080/2079]], [[2200/2197]] and [[6656/6655]].

It provides the [[optimal patent val]] for the rank-5 temperament tempering out 352/351, plus other temperaments of lower rank also tempering it out, such as [[hemimist]] and [[namaka]]. Besides [[minthmic chords]], it enables ~~the~~ [[~~cuthbert triad~~]]~~, the~~ [[~~island chords~~]], ~~the~~ [[sinbadmic chords]], and ~~the~~ [[petrmic triad]].

It provides the [[optimal patent val]] for the rank-5 temperament tempering out 352/351, plus other temperaments of lower rank also tempering it out, such as [[hemimist]] and [[namaka]]. Besides [[minthmic chords]], it enables [[essentially tempered chords]] including [[cuthbert triad]], [[sinbadmic chords]], and [[petrmic triad]] in the 13-odd-limit, in addition to [[island chords]] in the 15-odd-limit.

Notably, it is the last edo to map [[64/63]] and [[81/80]] to the same step consistently.

@@ Line 13: / Line 13: @@
 Like 99, it tempers out [[2401/2400]], [[3136/3125]], [[4375/4374]], [[5120/5103]], [[6144/6125]] and [[10976/10935]] in the 7-limit. In the 11-limit, [[3025/3024]], [[3388/3375]], [[9801/9800]], [[14641/14580]], and [[16384/16335]]; in the 13-limit, [[352/351]], [[676/675]], [[847/845]], [[1001/1000]], [[1716/1715]], [[2080/2079]], [[2200/2197]] and [[6656/6655]].
-It provides the [[optimal patent val]] for the rank-5 temperament tempering out 352/351, plus other temperaments of lower rank also tempering it out, such as [[hemimist]] and [[namaka]]. Besides [[minthmic chords]], it enables the [[cuthbert triad]], the [[island chords]], the [[sinbadmic chords]], and the [[petrmic triad]].
+It provides the [[optimal patent val]] for the rank-5 temperament tempering out 352/351, plus other temperaments of lower rank also tempering it out, such as [[hemimist]] and [[namaka]]. Besides [[minthmic chords]], it enables [[essentially tempered chords]] including [[cuthbert triad]], [[sinbadmic chords]], and [[petrmic triad]] in the 13-odd-limit, in addition to [[island chords]] in the 15-odd-limit.
 Notably, it is the last edo to map [[64/63]] and [[81/80]] to the same step consistently.