Sengic family: Difference between revisions
- CTE & POTE tunings |
→Sengic: intro to the 7-limit temp |
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== Sengic == | == Sengic == | ||
Sengic is naturally a 2.3.5.7.13-subgroup temperament due to the identity 686/675 = (91/90)(196/195) and 91/90 = (169/168)(196/195). This identifies the last generator as 13/12~14/13~15/14. The 7-limit parent was discovered and named in 2005, whereas the extension was noted by [[Keenan Pepper]] in 2011<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_19390.html Yahoo! Tuning Group | ''It's the "thirds", stupid!'']</ref>. | Sengic is generated by a perfect fifth and a wide semitone of ~15/14, two of which make ~7/6 and three make ~5/4. It is naturally a 2.3.5.7.13-subgroup temperament due to the identity 686/675 = (91/90)⋅(196/195) and 91/90 = (169/168)⋅(196/195). This identifies the last generator as 13/12~14/13~15/14. The 7-limit parent was discovered and named in 2005, whereas the extension was noted by [[Keenan Pepper]] in 2011<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_19390.html Yahoo! Tuning Group | ''It's the "thirds", stupid!'']</ref>. | ||
[[Subgroup]]: 2.3.5.7 | [[Subgroup]]: 2.3.5.7 | ||