51/40: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Name = diatismic major third | |||
| Color name = 17og4, sogu 4th | |||
| Name = | |||
| Color name = | |||
}} | }} | ||
In [[17-limit]] [[just intonation]], '''51/40''' is the '''diatismic major third'''. It exceeds the [[81/64|Pythagorean major third (81/64)]] by a [[136/135|diatisma (136/135)]], hence the name. | |||
It is approximated by: | |||
* [[20edo|7\20]] (420 cents) | * [[20edo|7\20]] (420 cents) | ||
* [[3edo|1\3]] ([[12edo|4\12]]) (400 cents) | * [[3edo|1\3]] ([[12edo|4\12]]) (400 cents) | ||
* [[17edo|6\17]] ([[34edo|12\34]]) (423.529 cents) | * [[17edo|6\17]] ([[34edo|12\34]]) (423.529 cents) | ||
* [[37edo|13\37]] (421.622 cents) | |||
== See also == | == See also == | ||
* [[80/51]] – its [[octave complement]] | |||
* [[20/17]] – its [[fifth complement]] | |||
* [[Gallery of just intervals]] | * [[Gallery of just intervals]] | ||
[[Category: | [[Category:Third]] | ||
[[Category:Major third]] | [[Category:Major third]] | ||
[[Category:Supermajor third]] | [[Category:Supermajor third]] | ||
Latest revision as of 12:45, 15 June 2025
| Interval information |
In 17-limit just intonation, 51/40 is the diatismic major third. It exceeds the Pythagorean major third (81/64) by a diatisma (136/135), hence the name.
It is approximated by: