Gravity family: Difference between revisions

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Harry ~~can~~ be described as 58 & 72 temperament, ~~tempering out 7-limit commas 2401/2400~~ and ~~19683~~/~~19600;~~ 11-limit ~~commas~~ 243/242, 441/440 and ~~4000~~/~~3993, leading~~ to ~~a period~~ of ~~a half~~ octave ~~and a generator~~ of ~~minor semitone tempered between~~ [[21/20]] and [[22/21]]~~. Harry also equates 14/13 with 27/25 in~~ the ~~13-limit~~, ~~17/16 with 18/17 and 13/11~~ with 20~~/17 in~~ the 17-limit.

Harry adds the [[breedsma]], 2401/2400, and the [[cataharry comma]], 19683/19600, to the set of commas, and may be described as the 58 & 72 temperament. The [[period]] is half an [[octave]], and the generator ~21/20, with generator tunings of [[130edo|9\130]] or [[202edo|14\202]] being good choices. [[Mos]] of size 14, 16, 30, 44 or 58 are among the scale choices.

It becomes much more interesting as we move to the 11-limit, where we can add [[243/242]], [[441/440]] and [[540/539]] to the set of commas. 9\130 and especially 14\202 still make for good tuning choices, and the octave part of the wedgie is {{multival| 12 34 20 30 … }}.

Similar comments apply to the 13-limit, where we can add [[351/350]], [[364/363]], and [[729/728]] to the commas, with {{multival| 12 34 20 30 52 … }} as the octave wedgie. 130edo is again a good tuning choice, but even better might be tuning the harmonic 7 justly, which can be done via a generator of 83.1174 [[cent]]s. 72 notes of harry gives plenty of room even for the 13-limit harmonies.

[[Subgroup]]: 2.3.5.7

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 {{Main| Harry }}
-Harry can be described as 58 &amp; 72 temperament, tempering out 7-limit commas 2401/2400 and 19683/19600; 11-limit commas 243/242, 441/440 and 4000/3993, leading to a period of a half octave and a generator of minor semitone tempered between [[21/20]] and [[22/21]]. Harry also equates 14/13 with 27/25 in the 13-limit, 17/16 with 18/17 and 13/11 with 20/17 in the 17-limit.
+Harry adds the [[breedsma]], 2401/2400, and the [[cataharry comma]], 19683/19600, to the set of commas, and may be described as the 58 &amp; 72 temperament. The [[period]] is half an [[octave]], and the generator ~21/20, with generator tunings of [[130edo|9\130]] or [[202edo|14\202]] being good choices. [[Mos]] of size 14, 16, 30, 44 or 58 are among the scale choices.
+It becomes much more interesting as we move to the 11-limit, where we can add [[243/242]], [[441/440]] and [[540/539]] to the set of commas. 9\130 and especially 14\202 still make for good tuning choices, and the octave part of the wedgie is {{multival| 12 34 20 30 … }}.
+Similar comments apply to the 13-limit, where we can add [[351/350]], [[364/363]], and [[729/728]] to the commas, with {{multival| 12 34 20 30 52 … }} as the octave wedgie. 130edo is again a good tuning choice, but even better might be tuning the harmonic 7 justly, which can be done via a generator of 83.1174 [[cent]]s. 72 notes of harry gives plenty of room even for the 13-limit harmonies.
 [[Subgroup]]: 2.3.5.7