Harry: Difference between revisions

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'''Harry''' is the rank-2 [[Regular temperament|temperament]] with a [[period]] of half an [[octave]] and a [[generator]] somewhere between [[22/21]] and [[21/20]] (which are tempered together in harry), or around 83 [[cent]]s. Alternatively, it can be viewed as a [[cluster temperament]] with 14 clusters and a chroma that represents many important intervals including 81/80, 99/98, 100/99, and 121/120. In any case the first important [[mos]] of harry has the shape [[2L 12s]].

'''Harry''' is the rank-2 [[Regular temperament|temperament]] with a [[period]] of half an [[octave]] and a [[generator]] somewhere between [[22/21]] and [[21/20]] (which are tempered together in harry), or around 83 [[cent]]s. Two generators are thus equal to [[11/10]] (which is [[4000/3993|made]] a third of [[4/3]]) and three of which [[1001/1000|made]] equal to [[15/13]] (which is [[676/675|made]] a half of 4/3). This means that harry splits 4/3 into 12 equal parts, a highly composite number, and splitting 2/1 into two equal parts (representing [[24/17]]~[[99/70]]) means it also splits 3/2 into two equal parts (representing [[11/9]]~[[49/40]]). Alternatively, it can be viewed as a [[cluster temperament]] with 14 clusters and a chroma that represents many important intervals including 81/80, 99/98, 100/99, and 121/120. In any case the first important [[mos]] of harry has the shape [[2L 12s]].

Harry was named after [[Harry Partch]], which is ironic given that Harry Partch was adamantly opposed to the very idea of tempering. This is perhaps not so insulting to Harry when you consider that these mathematical structures can also be used to arrange JI intervals into patterns ([[constant structure]]s) and create JI [[detempering]]s of the temperament.

Revision as of 23:42, 5 May 2023 view source Cmloegcmluin (talk \| contribs) autopatrolled, emailconfirmed 5,160 edits unchanged interval → unchanged-interval ← Older edit		Revision as of 20:48, 4 July 2024 view source Godtone (talk \| contribs) autopatrolled, emailconfirmed 2,289 edits m note significance of the gen chain Newer edit →
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	'''Harry''' is the rank-2 [[Regular temperament\|temperament]] with a [[period]] of half an [[octave]] and a [[generator]] somewhere between [[22/21]] and [[21/20]] (which are tempered together in harry), or around 83 [[cent]]s. Alternatively, it can be viewed as a [[cluster temperament]] with 14 clusters and a chroma that represents many important intervals including 81/80, 99/98, 100/99, and 121/120. In any case the first important [[mos]] of harry has the shape [[2L 12s]].		'''Harry''' is the rank-2 [[Regular temperament\|temperament]] with a [[period]] of half an [[octave]] and a [[generator]] somewhere between [[22/21]] and [[21/20]] (which are tempered together in harry), or around 83 [[cent]]s. Two generators are thus equal to [[11/10]] (which is [[4000/3993\|made]] a third of [[4/3]]) and three of which [[1001/1000\|made]] equal to [[15/13]] (which is [[676/675\|made]] a half of 4/3). This means that harry splits 4/3 into 12 equal parts, a highly composite number, and splitting 2/1 into two equal parts (representing [[24/17]]~[[99/70]]) means it also splits 3/2 into two equal parts (representing [[11/9]]~[[49/40]]). Alternatively, it can be viewed as a [[cluster temperament]] with 14 clusters and a chroma that represents many important intervals including 81/80, 99/98, 100/99, and 121/120. In any case the first important [[mos]] of harry has the shape [[2L 12s]].

	Harry was named after [[Harry Partch]], which is ironic given that Harry Partch was adamantly opposed to the very idea of tempering. This is perhaps not so insulting to Harry when you consider that these mathematical structures can also be used to arrange JI intervals into patterns ([[constant structure]]s) and create JI [[detempering]]s of the temperament.		Harry was named after [[Harry Partch]], which is ironic given that Harry Partch was adamantly opposed to the very idea of tempering. This is perhaps not so insulting to Harry when you consider that these mathematical structures can also be used to arrange JI intervals into patterns ([[constant structure]]s) and create JI [[detempering]]s of the temperament.