Jubilismic clan: Difference between revisions
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Lemba finds the perfect fifth three steps away by tempering out [[1029/1024]]. Astrology, five steps away by tempering out [[3125/3072]]. Decimal, two steps away by tempering out [[25/24]] and [[49/48]]. Pajara slices the ~7/4 into two. Injera slices the ~5/1 into four. Hedgehog slices the ~7/1 into five. | Lemba finds the perfect fifth three steps away by tempering out [[1029/1024]]. Astrology, five steps away by tempering out [[3125/3072]]. Decimal, two steps away by tempering out [[25/24]] and [[49/48]]. Pajara slices the ~7/4 into two. Injera slices the ~5/1 into four. Hedgehog slices the ~7/1 into five. | ||
Lemba, doublewide, and diminished are discussed below; others in the clan are | Lemba, astrology, doublewide, and diminished are discussed below; others in the clan are | ||
* [[Pajara]] → [[Diaschismic family #Pajara|Diaschismic family]] | * [[Pajara]] → [[Diaschismic family #Pajara|Diaschismic family]] | ||
* [[Decimal]] → [[Dicot family #Decimal|Dicot family]] | * [[Decimal]] → [[Dicot family #Decimal|Dicot family]] | ||
| Line 30: | Line 30: | ||
* [[Dubbla]] → [[Wesley family #Dubbla|Wesley family]] | * [[Dubbla]] → [[Wesley family #Dubbla|Wesley family]] | ||
* [[Hexe]] → [[Augmented family #Hexe|Augmented family]] | * [[Hexe]] → [[Augmented family #Hexe|Augmented family]] | ||
which are discussed elsewhere. | which are discussed elsewhere. | ||
| Line 76: | Line 75: | ||
Badness: 0.025477 | Badness: 0.025477 | ||
== Astrology == | |||
{{See also| Magic family }} | |||
[[Subgroup]]: 2.3.5.7 | |||
[[Comma list]]: 50/49, 3125/3072 | |||
[[Mapping]]: [{{val| 2 0 4 5 }}, {{val| 0 5 1 1 }}] | |||
Mapping geenerators: ~7/5, ~5/4 | |||
{{Multival|legend=1| 10 2 2 -20 -25 -1 }} | |||
[[Optimal tuning]] ([[POTE]]): ~7/5 = 1\2, ~5/4 = 380.578 | |||
{{Val list|legend=1| 6, 16, 22, 60d, 82d }} | |||
[[Badness]]: 0.082673 | |||
=== 11-limit === | |||
Subgroup: 2.3.5.7.11 | |||
Comma list: 50/49, 121/120, 176/175 | |||
Mapping: [{{val| 2 0 4 5 5 }}, {{val| 0 5 1 1 3 }}] | |||
Optimal tuning (POTE): ~7/5 = 1\2, ~5/4 = 380.530 | |||
Optimal GPV sequence: {{Val list| 6, 16, 22, 60de, 82de }} | |||
Badness: 0.039151 | |||
==== 13-limit ==== | |||
Subgroup: 2.3.5.7.11.13 | |||
Comma list: 50/49, 65/64, 78/77, 121/120 | |||
Mapping: [{{val| 2 0 4 5 5 8 }}, {{val| 0 5 1 1 3 -1 }}] | |||
Optimal tuning (POTE): ~7/5 = 1\2, ~5/4 = 379.787 | |||
Optimal GPV sequence: {{Val list| 6, 16, 22, 38f }} | |||
Badness: 0.034376 | |||
; Music | |||
* [https://soundcloud.com/joelgranttaylor/astrology-percussion-quintet ''Astrology Percussion Quintet No 1'']{{dead link}} [http://micro.soonlabel.com/gene_ward_smith/Others/Taylor/AstrologyPercQuintet1_c.mp3 play]{{dead link}} by [[Joel Taylor]] | |||
==== Horoscope ==== | |||
Subgroup: 2.3.5.7.11.13 | |||
Comma list: 50/49, 66/65, 105/104, 121/120 | |||
Mapping: [{{val| 2 0 4 5 5 3 }}, {{val| 0 5 1 1 3 7 }}] | |||
POTE generator: ~5/4 = 379.837 | |||
Optimal GPV sequence: {{Val list| 16, 22f, 38 }} | |||
Badness: 0.035284 | |||
== Diminished == | == Diminished == | ||