49/48: Difference between revisions
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| 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> | |||
| Sound = Ji-49-48-csound-foscil-220hz.mp3 | | Sound = Ji-49-48-csound-foscil-220hz.mp3 | ||
}} | }} | ||
The '''large septimal diesis''' (or '''slendro diesis'''), '''49/48''' (35.6968 [[cent]]s), 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. | |||
The '''large septimal diesis''' (or '''slendro diesis'''), '''49/48''' (35.6968 [[cent]]s), 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]]. | In classical Western music, this interval is not known as a [[comma]] as it is not tempered out in [[12edo]]. | ||
== See also == | == See also == | ||
* [[Semiphore family]] | |||
* [[Slendro clan]] | |||
* [[Medium comma]] | * [[Medium comma]] | ||
* [[List of superparticular intervals]] | |||
* [[Gallery of just intervals]] | * [[Gallery of just intervals]] | ||
* [ | * [[Wikipedia:Septimal diesis|Septimal diesis - Wikipedia]] | ||
[[Category:7-limit]] | [[Category:7-limit]] | ||