100/81: Difference between revisions
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*diptolemaic* is part of the Pythagorean-commatic naming system, which doesn't go with acute/grave |
Separate the 13- and 17-limit equations, as they're not necessary to understand this 5-limit interval |
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| Color name = yy3, yoyo 3rd | | Color name = yy3, yoyo 3rd | ||
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'''100/81''', the '''classical grave major third''' or '''diptolemaic major third''', is a [[81/80|syntonic comma (81/80)]] flat of [[5/4]], a [[325/324|marveltwin comma (325/324)]] sharp of [[16/13]], and merely a [[1701/1700|palingenetic comma (1701/1700)]] flat of the interval [[21/17]] | '''100/81''', the '''classical grave major third''' or '''diptolemaic major third''', is a [[81/80|syntonic comma (81/80)]] flat of [[5/4]]. It can be obtained by stacking two [[10/9|small whole tones (10/9)]]. | ||
In the [[13-limit]], it is a [[325/324|marveltwin comma (325/324)]] sharp of [[16/13]], and in the [[17-limit]], merely a [[1701/1700|palingenetic comma (1701/1700)]] flat of the interval [[21/17]] | |||
[[Category:Third]] | [[Category:Third]] | ||
[[Category:Submajor third]] | [[Category:Submajor third]] | ||
Latest revision as of 15:52, 1 September 2026
| Interval information |
diptolemaic major third
100/81, the classical grave major third or diptolemaic major third, is a syntonic comma (81/80) flat of 5/4. It can be obtained by stacking two small whole tones (10/9).
In the 13-limit, it is a marveltwin comma (325/324) sharp of 16/13, and in the 17-limit, merely a palingenetic comma (1701/1700) flat of the interval 21/17