Sensi: Difference between revisions
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{{interwiki | {{interwiki | ||
| en = Sensi | |||
| de = Sensi | | de = Sensi | ||
}} | }} | ||
{{Infobox regtemp | {{Infobox regtemp | ||
| Title = Sensi | | Title = Sensi | ||
| Subgroups = 2.3.5.7, 2.3.5.7.13 | | Subgroups = 2.3.5.7, 2.3.5.7.13 | ||
| Comma basis = [[ | | Comma basis = [[126/125]], [[245/243]] (7-limit); <br>[[91/90]], [[126/125]], [[169/168]] (2.3.5.7.13) | ||
| Edo join 1 = 19 | Edo join 2 = 27 | | Edo join 1 = 19 | Edo join 2 = 27 | ||
| Mapping = 1; 7 9 13 10 | | Mapping = 1; 7 9 13 10 | ||
| Generators = 9/7 | Generators tuning = 443.3 | Optimization method = CWE | |||
| MOS scales = [[3L 2s]], [[3L 5s]], [[8L 3s]], [[8L 11s]] | |||
| Pergen = (P8, ccP5/7) | | Pergen = (P8, ccP5/7) | ||
| Odd limit 1 = 7 | Mistuning 1 = 7.5 | Complexity 1 = 19 | | Odd limit 1 = 7 | Mistuning 1 = 7.5 | Complexity 1 = 19 | ||
| Odd limit 2 = | | Odd limit 2 = 2.3.5.7.13 21 | Mistuning 2 = 11.1 | 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}}, which is taken in the [[7-limit]] to represent a sharpened [[9/7]]. The most important equivalence in sensi (i.e. [[tempering out]] the comma [[245/243]]) is known as ''sensamagic'', by which two of these thirds stack to a major sixth which approximates [[5/3]]. Sensi then makes the additional tempering of [[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, and [[5/4]] is divided into three parts, each identified with [[15/14]]. Furthermore, since the supermajor third is tempered so sharply, it makes sense to have it represent both 9/7 and [[13/10]], which means [[91/90]] is tempered out in the 2.3.5.7.13 [[subgroup]]. There the 15/14 interval also represents [[14/13]] and [[13/12]], which results in [[169/168]] and [[196/195]] being tempered out. | '''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}}, which is taken in the [[7-limit]] to represent a sharpened [[9/7]]. The most important equivalence in sensi (i.e. [[tempering out]] the comma [[245/243]]) is known as ''sensamagic'', by which two of these thirds stack to a major sixth which approximates [[5/3]]. Sensi then makes the additional tempering of [[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, and [[5/4]] is divided into three parts, each identified with [[15/14]]. Furthermore, since the supermajor third is tempered so sharply, it makes sense to have it represent both 9/7 and [[13/10]], which means [[91/90]] is tempered out in the 2.3.5.7.13 [[subgroup]]. There the 15/14 interval also represents [[14/13]] and [[13/12]], which results in [[169/168]] and [[196/195]] being tempered out. | ||
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; [[Budjarn Lambeth]] | ; [[Budjarn Lambeth]] | ||
* [https://www.youtube.com/watch?v=qc0CkUKj7t4 Music in Sensi Temperament (+ Tempered Octaves) | * [https://www.youtube.com/watch?v=qc0CkUKj7t4 ''Music in Sensi Temperament (+ Tempered Octaves)''] (2024) | ||
; [[Claudi Meneghin]] | |||
* [https://www.youtube.com/watch?v=rmgWC_jruSg ''Sensi Fugue''] (2024) – fugue for two organs, in sensi, 46edo tuning | |||
[[Category:Sensi| ]] <!-- Main article --> | [[Category:Sensi| ]] <!-- Main article --> | ||