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== Temperaments == | == Temperaments == | ||
Tempering out this comma in the 17-limit results in the '''noellismic temperament''', or in the 2.3.5.7.17 subgroup, the '''noellic temperament'''. In either case [[18/17]] is split into two equal parts, each representing 35/34~36/35. You may find a list of good equal temperaments that support these temperaments below. | Tempering out this comma in the 17-limit results in the rank-6 '''noellismic temperament''', or in the 2.3.5.7.17 subgroup, the rank-4 '''noellic temperament'''. In either case [[18/17]] is split into two equal parts, each representing 35/34~36/35. You may find a list of good equal temperaments that support these temperaments below. | ||
=== Noellismic === | === Noellismic === | ||
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=== Noellic === | === Noellic === | ||
Subgroup: 2.3.5.7.17 | [[Subgroup]]: 2.3.5.7.17 | ||
Sval mapping: | [[Sval]] [[mapping]]: | ||
<br>[{{val| 1 0 0 0 -3 }} | <br>[{{val| 1 0 0 0 -3 }} | ||
<br>{{val| 0 1 0 0 -2 }} | <br>{{val| 0 1 0 0 -2 }} | ||
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Sval mapping generators: ~2, ~3, ~5, ~7 | Sval mapping generators: ~2, ~3, ~5, ~7 | ||
Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 702.0440, ~5/4 = 386.1228, ~7/4 = 968.5468 | [[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~3/2 = 702.0440, ~5/4 = 386.1228, ~7/4 = 968.5468 | ||
{{Val list|legend=1| 19g, 22, 27g, 31, 41g, 46, 53, 68, 72, 99, 171, 581, 653, 752, 824, 995, 1576, 1747, 1918d }} | |||
== Etymology == | == Etymology == | ||