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