81/50: 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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| Name = classical acute minor sixth, diptolemaic minor sixth | | Name = classical acute minor sixth, diptolemaic minor sixth | ||
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'''81/50''', the '''classical acute minor sixth''' or '''diptolemaic minor sixth''', is a [[81/80|syntonic comma]] sharp of [[8/5]], a [[325/324|marveltwin comma (325/324)]] flat of [[13/8]], and merely a [[1701/1700|palingenetic comma (1701/1700)]] sharp of the interval [[34/21]] | '''81/50''', the '''classical acute minor sixth''' or '''diptolemaic minor sixth''', is a [[81/80|syntonic comma]] sharp of [[8/5]]. It can be obtained by stacking two [[9/5|classic minor sevenths (9/5)]] and subtracting an octave, or subtracting two [[10/9|small whole tones (10/9)]] from an octave. | ||
In the [[13-limit]], it is a [[325/324|marveltwin comma (325/324)]] flat of [[13/8]], and in the [[17-limit]], merely a [[1701/1700|palingenetic comma (1701/1700)]] sharp of the interval [[34/21]]. | |||
Latest revision as of 15:53, 1 September 2026
| Interval information |
diptolemaic minor sixth
81/50, the classical acute minor sixth or diptolemaic minor sixth, is a syntonic comma sharp of 8/5. It can be obtained by stacking two classic minor sevenths (9/5) and subtracting an octave, or subtracting two small whole tones (10/9) from an octave.
In the 13-limit, it is a marveltwin comma (325/324) flat of 13/8, and in the 17-limit, merely a palingenetic comma (1701/1700) sharp of the interval 34/21.