126/125: Difference between revisions
added infobox, simplified wiki markup |
recat, added: Color name, FJS name, See also |
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| Cents = 13.79477 | | Cents = 13.79477 | ||
| Name = Starling comma, <br> septimal semicomma | | Name = Starling comma, <br> septimal semicomma | ||
| Color name = | | Color name = zg<sup>3</sup>2, zotrigu comma | ||
| FJS name = d2<sup>7</sup><sub>125</sub> | |||
| Sound = | | Sound = | ||
}} | }} | ||
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Tempering it out leads to [[Starling_temperaments#Starling comma|starling temperament]], and three minor thirds plus a [[7/6]] subminor third, when 126/125 is tempered out, gives the [[starling tetrad]] or septimal semicomma diminished seventh chord. | Tempering it out leads to [[Starling_temperaments#Starling comma|starling temperament]], and three minor thirds plus a [[7/6]] subminor third, when 126/125 is tempered out, gives the [[starling tetrad]] or septimal semicomma diminished seventh chord. | ||
[http://en.wikipedia.org/wiki/Septimal_semicomma http://en.wikipedia.org/wiki/Septimal_semicomma] | == See also == | ||
* [[Gallery of just intervals]] | |||
* [http://en.wikipedia.org/wiki/Septimal_semicomma http://en.wikipedia.org/wiki/Septimal_semicomma] | |||
[[Category:7-limit]] | [[Category:7-limit]] | ||
[[Category: | [[Category:Small comma]] | ||
[[Category:Interval]] | [[Category:Interval]] | ||
[[Category:Septimal]] | [[Category:Septimal]] | ||
[[Category:Starling]] | [[Category:Starling]] | ||
[[Category:Superparticular]] | [[Category:Superparticular]] | ||
Revision as of 17:15, 25 September 2020
| Interval information |
septimal semicomma
reduced
The starling comma or septimal semicomma, 126/125 (about 13.8 cents), is the only superparticular 7-limit comma which is not the difference between two 7-limit superparticular ratios. Instead, it is the amount by which 12/7 falls short of three 6/5 minor thirds. It is also the amount by which two 5/3 major sixths (octave-reduced) exceed the 7/5 tritone, and the amount by which three 5/3s (octave-reduced) fall short of the 7/6 septimal minor third. It can also be found when comparing the conventional 5-limit minor third and major tenth to the nearest Bohlen–Pierce intervals.
Tempering it out leads to starling temperament, and three minor thirds plus a 7/6 subminor third, when 126/125 is tempered out, gives the starling tetrad or septimal semicomma diminished seventh chord.