49/48: Difference between revisions
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| Monzo = -4 -1 0 2 | | Monzo = -4 -1 0 2 | ||
| Cents = 35.69681 | | Cents = 35.69681 | ||
| Name = large septimal diesis <br> slendro diesis | | Name = large septimal diesis, <br> slendro diesis | ||
| Color name = zz2, zozo comma | | Color name = zz2, zozo comma | ||
| FJS name = m2<sup>49</sup> | | FJS name = m2<sup>49</sup> | ||
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* [[List of superparticular intervals]] | * [[List of superparticular intervals]] | ||
* [[Gallery of just intervals]] | * [[Gallery of just intervals]] | ||
* [[Wikipedia:Septimal diesis]] | * [[Wikipedia: Septimal diesis]] | ||
[[Category:7-limit]] | [[Category:7-limit]] | ||
Revision as of 16:13, 15 October 2020
| Interval information |
slendro diesis
reduced
[sound info]
The large septimal diesis (or slendro diesis), 49/48 (35.6968 cents), is a superparticular ratio spanning the small distance between a subminor third (7/6) and a supermajor second (8/7) or between the supermajor sixth (12/7) and the harmonic seventh (7/4). It is tempered out in 15edo and 19edo, where the two intervals are equated, and the fourth is split in a perfect half. It cannot be tempered out if all of the consonances of the 7-limit are distinct, but it can be equated with other commas; for example (49/48)/(81/80) = 245/243, (49/48)/(64/63) = 1029/1024, (49/48)/(3125/3072) = 3136/3125, (49/48)/(50/49) = 2401/2400, (128/125)/(49/48) = 6144/6125, (36/35)/(49/48) = 1728/1715.
In classical Western music, this interval is not known as a comma as it is not tempered out in 12edo.