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| Temperaments discussed elsewhere include: | | Temperaments discussed elsewhere include: |
| * ''[[Decimal]]'', {25/24, 49/48} → [[Dicot family #Decimal]] | | * ''[[Decimal]]'' → [[Dicot family #Decimal|Dicot family]] ({25/24, 49/48}) |
| * ''[[Beatles]]'', {64/63, 686/675} → [[Archytas clan #Beatles]]
| | * ''[[Beatles]]'' → [[Archytas clan #Beatles|Archytas clan]] ({64/63, 686/675}) |
| * [[Squares]], {81/80, 2401/2400} → [[Meantone family #Squares]]
| | * [[Squares]] → [[Meantone family #Squares|Meantone family]] ({81/80, 2401/2400}) |
| * [[Myna]], {126/125, 1728/1715} → [[Starling temperaments #Myna]]
| | * [[Myna]] → [[Starling temperaments #Myna|Starling temperaments]] ({126/125, 1728/1715}) |
| * [[Miracle]], {225/224, 1029/1024} → [[Gamelismic clan #Miracle]]
| | * [[Miracle]] → [[Gamelismic clan #Miracle|Gamelismic clan]] ({225/224, 1029/1024}) |
| * ''[[Octacot]]'', {245/243, 2401/2400} → [[Tetracot family #Octacot]]
| | * ''[[Octacot]]'' → [[Tetracot family #Octacot|Tetracot family]] ({245/243, 2401/2400}) |
| * ''[[Greenwood]]'', {405/392, 1323/1280} → [[Greenwoodmic temperaments #Greenwood]]
| | * ''[[Greenwood]]'' → [[Greenwoodmic temperaments #Greenwood|Greenwoodmic temperaments]] ({405/392, 1323/1280}) |
| * ''[[Quasitemp]]'', {875/864, 2401/2400} → [[Keemic temperaments #Quasitemp]]
| | * ''[[Quasitemp]]'' → [[Keemic temperaments #Quasitemp|Keemic temperaments]] ({875/864, 2401/2400}) |
| * ''[[Quadrasruta]]'', {2048/2025, 2401/2400} → [[Diaschismic family #Quadrasruta]]
| | * ''[[Quadrasruta]]'' → [[Diaschismic family #Quadrasruta|Diaschismic family]] ({2048/2025, 2401/2400}) |
| * ''[[Quadrimage]]'', {2401/2400, 3125/3072} → [[Magic family #Quadrimage]]
| | * ''[[Quadrimage]]'' → [[Magic family #Quadrimage|Magic family]] ({2401/2400, 3125/3072}) |
| * ''[[Hemiwürschmidt]]'', {2401/2400, 3136/3125} → [[Würschmidt family #Hemiwürschmidt]] | | * ''[[Hemiwürschmidt]]'' → [[Würschmidt family #Hemiwürschmidt|Würschmidt family]] and [[Hemimean clan #Hemiwürschmidt|hemimean clan]] ({2401/2400, 3136/3125}) |
| * [[Ennealimmal]], {2401/2400, 4375/4374} → [[Ragismic microtemperaments #Ennealimmal]]
| | * [[Ennealimmal]] → [[Ragismic microtemperaments #Ennealimmal|Ragismic microtemperaments]] ({2401/2400, 4375/4374}) |
| * ''[[Quadritikleismic]]'', {2401/2400, 15625/15552} → [[Kleismic family #Quadritikleismic]] | | * ''[[Quadritikleismic]]'' → [[Kleismic family #Quadritikleismic|Kleismic family]] ({2401/2400, 15625/15552}) |
| * ''[[Sesquiquartififths]]'', {2401/2400, 32805/32768} → [[Schismatic family #Sesquiquartififths]] | | * [[Harry]] → [[Gravity family #Harry|Gravity family]] ({2401/2400, 19683/19600}) |
| * ''[[Neptune]]'', {2401/2400, 48828125/48771072} → [[Gammic family #Neptune]]
| | * ''[[Sesquiquartififths]]'' → [[Schismatic family #Sesquiquartififths|Schismatic family]] ({2401/2400, 32805/32768}) |
| * ''[[Eagle]]'', {2401/2400, 10485760000/10460353203} → [[Vulture family #Eagle]]
| | * ''[[Neptune]]'' → [[Gammic family #Neptune|Gammic family]] ({2401/2400, 48828125/48771072}) |
| | * ''[[Eagle]]'' → [[Vulture family #Eagle|Vulture family]] ({2401/2400, 10485760000/10460353203}) |
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| == Hemififths == | | == Hemififths == |
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| Badness: 0.025790 | | Badness: 0.025790 |
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| == Harry ==
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| {{Main| Harry }}
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| {{see also| Gravity family #Harry }}
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| Harry adds [[cataharry comma|cataharry]], 19683/19600, to the set of commas. It may be described as the 58&72 temperament. The period is half an octave, and the generator 21/20, with generator tunings of 9\130 or 14\202 being good choices. MOS of size 14, 16, 30, 44 or 58 are among the scale choices.
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| Harry 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. 130 and especially 202 still make for good tuning choices, and the octave part of the wedgie is {{multival| 12 34 20 30 …}}.
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| Similar comments apply to the 13-limit, where we can add 351/350 and 364/363 to the commas, with {{multival| 12 34 20 30 52 …}} as the octave wedgie. [[130edo|130EDO]] is again a good tuning choice, but even better might be tuning 7s justly, which can be done via a generator of 83.1174 cents. 72 notes of harry gives plenty of room even for the 13-limit harmonies.
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| Subgroup: 2.3.5.7
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| [[Comma list]]: 2401/2400, 19683/19600
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| [[Mapping]]: [{{val| 2 4 7 7 }}, {{val| 0 -6 -17 -10 }}]
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| {{Multival|legend=1| 12 34 20 26 -2 -49 }}
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| [[POTE generator]]: ~21/20 = 83.156
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| {{Val list|legend=1| 14c, 58, 72, 130, 202, 534, 736b, 938b }}
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| [[Badness]]: 0.034077
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| === 11-limit ===
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| Subgroup: 2.3.5.7.11
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| Comma list: 243/242, 441/440, 4000/3993
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| Mapping: [{{val| 2 4 7 7 9 }}, {{val| 0 -6 -17 -10 -15 }}]
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| POTE generator: ~21/20 = 83.167
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| Optimal GPV sequence: {{Val list| 14c, 58, 72, 130, 202 }}
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| Badness: 0.015867
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| === 13-limit ===
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| Subgroup: 2.3.5.7.11.13
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| Comma list: 243/242, 351/350, 364/363, 441/440
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| Mapping: [{{val| 2 4 7 7 9 11 }}, {{val| 0 -6 -17 -10 -15 -26 }}]
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| POTE generator: ~21/20 = 83.116
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| Optimal GPV sequence: {{Val list| 14cf, 58, 72, 130, 332f, 462ef }}
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| Badness: 0.013046
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| === 17-limit ===
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| Subgroup: 2.3.5.7.11.13.17
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| Comma list: 221/220, 243/242, 289/288, 351/350, 441/440
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| Mapping: [{{val| 2 4 7 7 9 11 9 }}, {{val| 0 -6 -17 -10 -15 -26 -6 }}]
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| POTE generator: ~21/20 = 83.168
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| Optimal GPV sequence: {{Val list| 14cf, 58, 72, 130, 202g }}
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| Badness: 0.012657
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| == Quasiorwell == | | == Quasiorwell == |