Magic family: Difference between revisions
- CTE & POTE tunings |
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====== | ====== Magicus ====== | ||
Subgroup: 2.3.5.7.11.13.17.19 | Subgroup: 2.3.5.7.11.13.17.19 | ||
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==== Necromancy ==== | ==== Necromancy ==== | ||
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==== Soothsaying ==== | ==== Soothsaying ==== | ||
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==== Intuition ==== | ==== Intuition ==== | ||
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=== Horcrux === | === Horcrux === | ||
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=== Divination === | === Divination === | ||
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Badness (Sintel): 1.19 | Badness (Sintel): 1.19 | ||
== | == Brightstone == | ||
Brightstone tempers out 64/63 and may be described as {{nowrap| 22 & 25 }}. 22edo itself is a good tuning, in which case it is identical to magic. Brightstone can be extended to the 11- and 13-limit in a similar way to muggles. | |||
[[Subgroup]]: 2.3.5.7 | [[Subgroup]]: 2.3.5.7 | ||
[[Comma list]]: | [[Comma list]]: 64/63, 3125/3024 | ||
{{Mapping|legend=1| 1 0 2 | {{Mapping|legend=1| 1 0 2 6 | 0 5 1 -10 }} | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[WE]]: ~2 = | * [[WE]]: ~2 = 1198.1701{{c}}, ~5/4 = 381.3741{{c}} | ||
: | : error map: {{val| -1.830 +4.915 -8.599 +6.454 }} | ||
* [[CWE]]: ~2 = 1200. | * [[CWE]]: ~2 = 1200.0000{{c}}, ~5/4 = 381.9562{{c}} | ||
: error map: {{val| 0.000 | : error map: {{val| 0.000 +7.826 -4.358 +11.613 }} | ||
{{Optimal ET sequence|legend=1| | {{Optimal ET sequence|legend=1| 3, 19d, 22 }} | ||
[[Badness]] (Sintel): 2. | [[Badness]] (Sintel): 2.23 | ||
=== 11-limit === | === 11-limit === | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
Comma list: | Comma list: 55/54, 64/63, 625/616 | ||
Mapping: {{mapping| 1 0 2 | Mapping: {{mapping| 1 0 2 6 -1 | 0 5 1 -10 14 }} | ||
Optimal tunings: | Optimal tunings: | ||
* WE: ~2 = | * WE: ~2 = 1198.5372{{c}}, ~5/4 = 381.7556{{c}} | ||
* CWE: ~2 = 1200.0000{{c}}, ~5/4 = | * CWE: ~2 = 1200.0000{{c}}, ~5/4 = 382.1943{{c}} | ||
{{Optimal ET sequence|legend=0| | {{Optimal ET sequence|legend=0| 22, 69b }} | ||
Badness (Sintel): 1. | Badness (Sintel): 1.85 | ||
=== 13-limit === | === 13-limit === | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
Comma list: | Comma list: 40/39, 55/54, 64/63, 625/616 | ||
Mapping: {{mapping| 1 0 2 | Mapping: {{mapping| 1 0 2 6 6 4 | 0 5 1 -10 14 -4 }} | ||
Optimal tunings: | Optimal tunings: | ||
* WE: ~2 = | * WE: ~2 = 1197.2300{{c}}, ~5/4 = 381.6164{{c}} | ||
* CWE: ~2 = 1200.0000{{c}}, ~5/4 = | * CWE: ~2 = 1200.0000{{c}}, ~5/4 = 382.4690{{c}} | ||
{{Optimal ET sequence|legend=0| 22f, 47bff }} | |||
Badness (Sintel): 1.99 | |||
== Darkstone == | |||
Darkstone (16 & 19d) is a low-accuracy temperament which tempers out 36/35 and 1875/1792. It makes the major third and the fifth even flatter than those of muggles. | |||
This temperament is known as ''witch'' in [http://www.tonalsoft.com/enc/m/magic.aspx Tonalsoft Encyclopedia]. | |||
[[Subgroup]]: 2.3.5.7 | [[Subgroup]]: 2.3.5.7 | ||
[[Comma list]]: | [[Comma list]]: 36/35, 1875/1792 | ||
{{Mapping|legend=1| 1 0 2 | {{Mapping|legend=1| 1 0 2 0 | 0 5 1 9 }} | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[WE]]: ~2 = | * [[WE]]: ~2 = 1201.7458{{c}}, ~5/4 = 377.2996{{c}} | ||
: error map: {{val| | : [[error map]]: {{val| +1.746 -15.457 -5.523 +26.870 }} | ||
* [[CWE]]: ~2 = 1200. | * [[CWE]]: ~2 = 1200.000{{c}}, ~5/4 = 376.9630{{c}} | ||
: error map: {{val| 0.000 | : error map: {{val| 0.000 -17.140 -9.351 +23.841 }} | ||
{{Optimal ET sequence|legend=1| | {{Optimal ET sequence|legend=1| 3d, …, 13b, 16 }} | ||
[[Badness]] (Sintel): 2. | [[Badness]] (Sintel): 2.13 | ||
=== 11-limit === | === 11-limit === | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
Comma list: | Comma list: 36/35, 45/44, 363/343 | ||
Mapping: {{mapping| 1 0 2 | Mapping: {{mapping| 1 0 2 0 0 | 0 5 1 9 11 }} | ||
Optimal tunings: | Optimal tunings: | ||
* WE: ~2 = | * WE: ~2 = 1201.7428{{c}}, ~5/4 = 377.3134{{c}} | ||
* CWE: ~2 = 1200.0000{{c}}, ~5/4 = | * CWE: ~2 = 1200.0000{{c}}, ~5/4 = 376.9735{{c}} | ||
{{Optimal ET sequence|legend=0| | {{Optimal ET sequence|legend=0| 3de, 13be, 16 }} | ||
Badness (Sintel): 1. | Badness (Sintel): 1.55 | ||
=== 13-limit === | === 13-limit === | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
Comma list: | Comma list: 27/26, 36/35, 45/44, 363/343 | ||
Mapping: {{mapping| 1 0 2 | Mapping: {{mapping| 1 0 2 0 0 -1 | 0 5 1 9 11 15 }} | ||
Optimal tunings: | Optimal tunings: | ||
* WE: ~2 = | * WE: ~2 = 1201.7428{{c}}, ~5/4 = 377.3134{{c}} | ||
* CWE: ~2 = 1200.0000{{c}}, ~5/4 = | * CWE: ~2 = 1200.0000{{c}}, ~5/4 = 376.4221{{c}} | ||
{{Optimal ET sequence|legend=0| 3def, 13beff, 16 }} | |||
Badness (Sintel): 1.58 | |||
Scales: [[User:BudjarnLambeth/Volcanic glass]] | |||
Music: [https://www.youtube.com/watch?v=oXy_RXrBVWA ''Rain in the crystal mirror caves''] - [[Budjarn Lambeth]] (2026) | |||
== Hocum == | == Hocum == | ||
| Line 1,014: | Line 902: | ||
Comma list: 105/104, 144/143, 245/242, 625/616 | Comma list: 105/104, 144/143, 245/242, 625/616 | ||
Mapping: {{mapping| 1 | Mapping: {{mapping| 1 -15 -1 -3 -22 | 0 20 4 7 9 31 }} | ||
Optimal tunings: | Optimal tunings: | ||
| Line 1,093: | Line 981: | ||
[[Category:Temperament families]] | [[Category:Temperament families]] | ||
[[Category:Magic family| ]] <!-- main article --> | [[Category:Magic family| ]] <!-- main article --> | ||
[[Category:Magic| ]] <!-- key article --> | [[Category:Magic| ]] <!-- key article --> | ||
[[Category:Rank 2]] | [[Category:Rank 2]] | ||
[[Category:Listen]] | [[Category:Listen]] | ||