Sensi: Difference between revisions

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{{Infobox regtemp

| Title = Sensi

| Subgroups = 2.3.5.7, 2.3.5.7.13

| Comma basis = [[245/243]], [[126/125]] (7-limit); <br> [[91/90]], [[126/125]], [[245/243]] (2.3.5.7.13)

| Edo join 1 = 19 | Edo join 2 = 27

| Generator = 9/7 | Generator tuning = 443.3 | Optimization method = CWE

| MOS scales = [[3L 2s]], [[3L 5s]], [[8L 3s]], [[8L 11s]]

| Mapping = 1; 7 9 13 10

| Pergen = (P8, ccP5/7)

| Odd limit 1 = 7 | Mistuning 1 = ??? | Complexity 1 = 19

| Odd limit 2 = (2.3.5.7.13) 21 | Mistuning 2 = ??? | Complexity 2 = 27

}}

'''Sensi''' is a [[rank-2 temperament|rank-2]] [[regular temperament]] that is [[generator|generated]] by an extremely sharp major third of between 442 and 445{{cent}}. In the [[7-limit]], this interval represents [[9/7]], and by the most important equivalence in sensi (i.e. [[tempering out]] [[245/243]]), two of these thirds stack to a major sixth which approximates [[5/3]]. The next comma to be tempered out is [[126/125]], through which three of these major sixths approximate [[7/6]], two octaves up. The [[6/1|6th harmonic]] is therefore split into seven. Furthermore, since the supermajor third is tempered so sharply, it makes sense to have it represent both 9/7 and [[13/10]], which results in [[91/90]] being tempered out in the 2.3.5.7.13 [[subgroup]].

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 | de = Sensi
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+}}
+{{Infobox regtemp
+| Title = Sensi
+| Subgroups = 2.3.5.7, 2.3.5.7.13
+| Comma basis = [[245/243]], [[126/125]] (7-limit); <br> [[91/90]], [[126/125]], [[245/243]] (2.3.5.7.13)
+| Edo join 1 = 19 | Edo join 2 = 27
+| Generator = 9/7 | Generator tuning = 443.3 | Optimization method = CWE
+| MOS scales = [[3L 2s]], [[3L 5s]], [[8L 3s]], [[8L 11s]]
+| Mapping = 1; 7 9 13 10
+| Pergen = (P8, ccP5/7)
+| Odd limit 1 = 7 | Mistuning 1 = ??? | Complexity 1 = 19
+| Odd limit 2 = (2.3.5.7.13) 21 | Mistuning 2 = ??? | Complexity 2 = 27
 }}
 '''Sensi''' is a [[rank-2 temperament|rank-2]] [[regular temperament]] that is [[generator|generated]] by an extremely sharp major third of between 442 and 445{{cent}}. In the [[7-limit]], this interval represents [[9/7]], and by the most important equivalence in sensi (i.e. [[tempering out]] [[245/243]]), two of these thirds stack to a major sixth which approximates [[5/3]]. The next comma to be tempered out is [[126/125]], through which three of these major sixths approximate [[7/6]], two octaves up. The [[6/1|6th harmonic]] is therefore split into seven. Furthermore, since the supermajor third is tempered so sharply, it makes sense to have it represent both 9/7 and [[13/10]], which results in [[91/90]] being tempered out in the 2.3.5.7.13 [[subgroup]].