Harry: Difference between revisions

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~~:''See also [[Gravity family #Harry]] or [[Breedsmic temperaments #Harry]].''~~

'''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 cents. 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''' temperament ~~has~~ 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 cents. 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.

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(The steps of those scale fragments are 121/120, 100/99, 81/80, and 99/98. Tempering these together means that 4000/3993, 243/242, and 9801/9800 are all tempered out, and the unique 11-limit rank-2 temperament tempering those out is harry.)

See [[Gravity family #Harry]] and [[Breedsmic temperaments #Harry]] for more technical data.

== Interval chain ==

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== Chords ==

== Scales ==

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== Tuning spectrum ==

{| class="wikitable center-all"

|-

! [[~~eigenmonzo~~|~~eigenmonzo~~<br>(~~unchanged interval~~]])

! [[Eigenmonzo|Eigenmonzo<br>(Unchanged Interval)]]

! ~~generator~~<br>(¢)

! Generator<br>(¢)

! ~~comments~~

! Comments

|-

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@@ Line 1: / Line 1: @@
-:''See also [[Gravity family #Harry]] or [[Breedsmic temperaments #Harry]].''
+'''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 cents. 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''' temperament has 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 cents. 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.
@@ Line 8: / Line 6: @@
 (The steps of those scale fragments are 121/120, 100/99, 81/80, and 99/98. Tempering these together means that 4000/3993, 243/242, and 9801/9800 are all tempered out, and the unique 11-limit rank-2 temperament tempering those out is harry.)
+See [[Gravity family #Harry]] and [[Breedsmic temperaments #Harry]] for more technical data.
 == Interval chain ==
@@ Line 118: / Line 118: @@
 == Chords ==
-{{main| Chords of harry }}
+{{Main| Chords of harry }}
 == Scales ==
@@ Line 124: / Line 124: @@
 == Tuning spectrum ==
 {| class="wikitable center-all"
 |-
-! [[eigenmonzo|eigenmonzo<br>(unchanged interval]])
+! [[Eigenmonzo|Eigenmonzo<br>(Unchanged Interval)]]
-! generator<br>(¢)
+! Generator<br>(¢)
-! comments
+! Comments
 |-
 | 9/7