Mabila family: Difference between revisions
added link to the no-threes version |
No edit summary |
||
| (5 intermediate revisions by 3 users not shown) | |||
| Line 1: | Line 1: | ||
{{Technical data page}} | |||
The '''mabila family''' of [[Rank-2 temperament|rank-2]] [[temperament]]s [[Tempering out|tempers out]] {{monzo| 28 -3 -10 }} = 268435456/263671875 in the 5-limit. This gives a temperament structure superficially similar to [[mavila]], with extremely sharp fourths/flat fifths, three of which make a major third. However, unlike mavila, 10 of these bad fifths reach a more in tune one, which is useful for creating resolutions when using a large enough gamut, such as the [[9L 7s]] [[mos]] which has 3 good major & minor chords. | The '''mabila family''' of [[Rank-2 temperament|rank-2]] [[temperament]]s [[Tempering out|tempers out]] {{monzo| 28 -3 -10 }} = 268435456/263671875 in the 5-limit. This gives a temperament structure superficially similar to [[mavila]], with extremely sharp fourths/flat fifths, three of which make a major third. However, unlike mavila, 10 of these bad fifths reach a more in tune one, which is useful for creating resolutions when using a large enough gamut, such as the [[9L 7s]] [[mos]] which has 3 good major & minor chords. | ||
| Line 15: | Line 16: | ||
== Semabila == | == Semabila == | ||
{{See also| No-threes subgroup temperaments #Mabilic }} | {{See also| No-threes subgroup temperaments #Mabilic }} | ||
Semabila is so named because it is a semaphore temperament. | |||
[[Subgroup]]: 2.3.5.7 | [[Subgroup]]: 2.3.5.7 | ||
| Line 23: | Line 25: | ||
{{Mapping|legend=1| 1 6 1 5 | 0 -10 3 -5 }} | {{Mapping|legend=1| 1 6 1 5 | 0 -10 3 -5 }} | ||
[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~75/56 = 529.667 | [[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~75/56 = 529.667 | ||
| Line 90: | Line 90: | ||
{{Mapping|legend=1| 1 6 1 9 | 0 -10 3 -14 }} | {{Mapping|legend=1| 1 6 1 9 | 0 -10 3 -14 }} | ||
[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~48/35 = 529.979 | [[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~48/35 = 529.979 | ||
| Line 157: | Line 155: | ||
{{Mapping|legend=1| 1 6 1 24 | 0 -10 3 -48 }} | {{Mapping|legend=1| 1 6 1 24 | 0 -10 3 -48 }} | ||
[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~512/375 = 529.772 | [[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~512/375 = 529.772 | ||
| Line 224: | Line 220: | ||
{{Mapping|legend=1| 1 6 1 -10 | 0 -10 3 29 }} | {{Mapping|legend=1| 1 6 1 -10 | 0 -10 3 29 }} | ||
[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~512/375 = 529.907 | [[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~512/375 = 529.907 | ||
| Line 291: | Line 285: | ||
{{Mapping|legend=1| 1 6 1 7 | 0 -20 6 -19 }} | {{Mapping|legend=1| 1 6 1 7 | 0 -20 6 -19 }} | ||
[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~7/6 = 264.825 | [[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~7/6 = 264.825 | ||
| Line 358: | Line 350: | ||
{{Mapping|legend=1| 1 -4 4 7 | 0 20 -6 -15 }} | {{Mapping|legend=1| 1 -4 4 7 | 0 20 -6 -15 }} | ||
[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~128/105 = 335.182 | [[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~128/105 = 335.182 | ||
| Line 425: | Line 415: | ||
{{Mapping|legend=1| 3 8 6 12 | 0 -10 3 -11 }} | {{Mapping|legend=1| 3 8 6 12 | 0 -10 3 -11 }} | ||
[[Optimal tuning]] ([[POTE]]): ~1125/896 = 1\3, ~7/6 = 270.269 | [[Optimal tuning]] ([[POTE]]): ~1125/896 = 1\3, ~7/6 = 270.269 | ||
| Line 487: | Line 475: | ||
[[Category:Temperament families]] | [[Category:Temperament families]] | ||
[[Category:Pages with mostly numerical content]] | |||
[[Category:Mabila family| ]] <!-- main article --> | [[Category:Mabila family| ]] <!-- main article --> | ||
[[Category:Mabila| ]] <!-- key article --> | [[Category:Mabila| ]] <!-- key article --> | ||
[[Category:Rank 2]] | [[Category:Rank 2]] | ||