Breed family: Difference between revisions
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The '''breed family''' of temperaments are rank-3 microtemperaments which temper out [[2401/2400]]. While it is so accurate it hardly matters what is used to temper it, or whether it is tempered at all, the [[optimal patent val]] 2749et will certainly do the trick. | The '''breed family''' of temperaments are rank-3 microtemperaments which temper out [[2401/2400]]. While it is so accurate it hardly matters what is used to temper it, or whether it is tempered at all, the [[optimal patent val]] 2749et will certainly do the trick. | ||
= Breed = | == Breed == | ||
[[Comma]]: 2401/2400 | [[Comma]]: 2401/2400 | ||
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Scales: [[breed11]] | Scales: [[breed11]] | ||
= Jove, aka Wonder = | == Jove, aka Wonder == | ||
Jove, formerly known as wonder, tempers out 243/242 and 441/440. Wonder has been deprecated as a name due to conflict with another temperament also given that name. Jove converts breed into an 11-limit temperament via 441/440, which equates 49/40 with 11/9, and 243/242, which tells us 11/9 can serve as a neutral third. While jove is no longer a super-accurate microtemperament like breed, it has the advantage of adjusting its tuning to deal with the 11-limit. 72, 130, 171 and 202 are good edos for jove. | Jove, formerly known as wonder, tempers out 243/242 and 441/440. Wonder has been deprecated as a name due to conflict with another temperament also given that name. Jove converts breed into an 11-limit temperament via 441/440, which equates 49/40 with 11/9, and 243/242, which tells us 11/9 can serve as a neutral third. While jove is no longer a super-accurate microtemperament like breed, it has the advantage of adjusting its tuning to deal with the 11-limit. 72, 130, 171 and 202 are good edos for jove. | ||
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* [http://micro.soonlabel.com/hobbit_scales/20120418-jove41.mp3 By Jove!] in [[jove41]] by Chris Vaisvil | * [http://micro.soonlabel.com/hobbit_scales/20120418-jove41.mp3 By Jove!] in [[jove41]] by Chris Vaisvil | ||
== Jovial == | === Jovial === | ||
Comma list: 243/242, 364/363, 441/440 | Comma list: 243/242, 364/363, 441/440 | ||
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Badness: 0.000624 | Badness: 0.000624 | ||
=== 17-limit === | ==== 17-limit ==== | ||
Comma list: 243/242, 364/363, 441/440, 595/594 | Comma list: 243/242, 364/363, 441/440, 595/594 | ||
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Badness: 0.000741 | Badness: 0.000741 | ||
== Jofur == | === Jofur === | ||
Comma list: 144/143, 196/195, 243/242 | Comma list: 144/143, 196/195, 243/242 | ||
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Badness: 0.000749 | Badness: 0.000749 | ||
== Jovis == | === Jovis === | ||
Comma list: 243/242, 351/350, 441/440 | Comma list: 243/242, 351/350, 441/440 | ||
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Badness: 0.000542 | Badness: 0.000542 | ||
= Freya = | == Freya == | ||
[[Comma list]]: 2401/2400, 3025/3024 | [[Comma list]]: 2401/2400, 3025/3024 | ||
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Projection pairs: ~3 = ~2401/800, ~5 = ~22880495169/4575312500, ~7 = ~1058841/151250, ~11 = ~33275/3024 to 2.49/5.77/3 | Projection pairs: ~3 = ~2401/800, ~5 = ~22880495169/4575312500, ~7 = ~1058841/151250, ~11 = ~33275/3024 to 2.49/5.77/3 | ||
== 13-limit == | === 13-limit === | ||
Comma list: 2401/2400, 3025/3024, 4096/4095 | Comma list: 2401/2400, 3025/3024, 4096/4095 | ||
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Projection pairs: ~3 = ~2401/800, ~5 = ~22880495169/4575312500, ~7 = ~1058841/151250, ~11 = ~33275/3024, ~13 = ~1814078464000000000000000/139662717676432916098329 to 2.49/5.77/3 | Projection pairs: ~3 = ~2401/800, ~5 = ~22880495169/4575312500, ~7 = ~1058841/151250, ~11 = ~33275/3024, ~13 = ~1814078464000000000000000/139662717676432916098329 to 2.49/5.77/3 | ||
= Baldur = | == Baldur == | ||
[[Comma]]s: 2401/2400, 9801/9800 | [[Comma]]s: 2401/2400, 9801/9800 | ||
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Projection pairs: 2 9801/4900 3 117649/39204 7 9801/1400 11 913517247483640899/83082326424002500 to 5.7/2.99/4 | Projection pairs: 2 9801/4900 3 117649/39204 7 9801/1400 11 913517247483640899/83082326424002500 to 5.7/2.99/4 | ||
== Greenland == | === Greenland === | ||
Commas: 676/675, 1001/1000, 1716/1715 | Commas: 676/675, 1001/1000, 1716/1715 | ||
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Projection pairs: 2 19600/9801 3 676/225 5 10400/2079 7 20384000/2910897 11 19208000000000000/1750211597736459 13 5026736/385875 to 10/7.200/99.26/15 | Projection pairs: 2 19600/9801 3 676/225 5 10400/2079 7 20384000/2910897 11 19208000000000000/1750211597736459 13 5026736/385875 to 10/7.200/99.26/15 | ||
= Agni = | == Agni == | ||
[[Comma]]s: 385/384, 1375/1372 | [[Comma]]s: 385/384, 1375/1372 | ||
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Badness: 0.000494 | Badness: 0.000494 | ||
== 13-limit == | === 13-limit === | ||
Commas: 385/384, 1375/1372, 625/624 | Commas: 385/384, 1375/1372, 625/624 | ||
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Badness: 0.000923 | Badness: 0.000923 | ||
= Vili = | == Vili == | ||
Commas: 2401/2400, 391314/390625 | Commas: 2401/2400, 391314/390625 | ||
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Badness: 0.00126 | Badness: 0.00126 | ||
== 13-limit == | === 13-limit === | ||
Commas: 2401/2400, 10985/10976, 1001/1000 | Commas: 2401/2400, 10985/10976, 1001/1000 | ||
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Badness: 0.000738 | Badness: 0.000738 | ||
= Zisa = | == Zisa == | ||
Commas: 2401/2400, 5632/5625 | Commas: 2401/2400, 5632/5625 | ||
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Badness: 0.000640 | Badness: 0.000640 | ||
== 13-limit == | === 13-limit === | ||
Commas: 2401/2400, 5632/5625, 4096/4095 | Commas: 2401/2400, 5632/5625, 4096/4095 | ||
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Badness: 0.000830 | Badness: 0.000830 | ||
= Frigg = | == Frigg == | ||
Commas: 2401/2400, 644204/643125 | Commas: 2401/2400, 644204/643125 | ||
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Badness: 0.00179 | Badness: 0.00179 | ||
== 13-limit == | === 13-limit === | ||
Commas: 1001/1000, 2401/2400, 10648/10647 | Commas: 1001/1000, 2401/2400, 10648/10647 | ||
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Badness: 0.000934 | Badness: 0.000934 | ||
= Ennealimmic = | == Ennealimmic == | ||
Commas: 2401/2400, 4375/4374 | Commas: 2401/2400, 4375/4374 | ||
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Badness: 0.000275 | Badness: 0.000275 | ||
== 13-limit == | === 13-limit === | ||
Commas: 2080/2079, 2401/2400, 4375/4374 | Commas: 2080/2079, 2401/2400, 4375/4374 | ||