49/48: Difference between revisions
Jump to navigation
Jump to search
m Moving from Category:Medium comma to Category:Medium commas using Cat-a-lot |
m Added Wikipedia box, misc. edits, categories |
||
| Line 6: | Line 6: | ||
}} | }} | ||
{{Infobox Interval | {{Infobox Interval | ||
| Ratio = 49/48 | | Ratio = 49/48 | ||
| Monzo = -4 -1 0 2 | | Monzo = -4 -1 0 2 | ||
| Line 15: | Line 14: | ||
| Sound = Ji-49-48-csound-foscil-220hz.mp3 | | Sound = Ji-49-48-csound-foscil-220hz.mp3 | ||
}} | }} | ||
{{Wikipedia|Septimal diesis}} | |||
'''49/48''', the '''large septimal diesis''' (or '''slendro diesis'''), 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]]). Measuring about 35.7{{cent}}, it is a [[medium comma]]. | |||
49/48 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-odd-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]]. | ||
| Line 26: | Line 27: | ||
* [[List of superparticular intervals]] | * [[List of superparticular intervals]] | ||
* [[Gallery of just intervals]] | * [[Gallery of just intervals]] | ||
[[Category:7-limit]] | [[Category:7-limit]] | ||
[[Category:Medium commas]] | [[Category:Medium commas]] | ||
[[Category:Superparticular]] | [[Category:Superparticular]] | ||
[[Category:Slendro]] | [[Category:Slendro]] | ||
[[Category:Semiphore]] | [[Category:Semiphore]] | ||
Revision as of 15:07, 23 March 2022
| Interval information |
slendro diesis
reduced
[sound info]
49/48, the large septimal diesis (or slendro diesis), 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). Measuring about 35.7 ¢, it is a medium comma.
49/48 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-odd-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.
See also
- Semiphore family, the rank-3 family where it is tempered out
- Slendro clan, the rank-2 clan where it is tempered out
- Medium comma
- List of superparticular intervals
- Gallery of just intervals