117/88: Difference between revisions
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Address a name change and +necessary terminology |
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{{Infobox Interval | {{Infobox Interval | ||
| Name = major minthmic fourth | |||
| Name = minthmic fourth | |||
| Color name = 3o1u4, tholu 4th | | Color name = 3o1u4, tholu 4th | ||
| Sound = Ji-117-88-csound-foscil-220hz.mp3 | | Sound = Ji-117-88-csound-foscil-220hz.mp3 | ||
}} | }} | ||
'''117/88''' is the '''minthmic fourth''', a [[13-limit]] [[ratio]] with a value of 493 [[cent]]s. It is [[352/351]] against the just perfect fourth of [[4/3]]. It arises in 13-limit [[just intonation]] by stacking [[13/11]] and [[9/8]], or by lowering [[13/8]] by [[11/9]]. | '''117/88''' is the '''major minthmic fourth''', a [[13-limit]] [[ratio]] with a value of 493 [[cent]]s. It is [[352/351]] against the just perfect fourth of [[4/3]]. It arises in 13-limit [[just intonation]] by stacking [[13/11]] and [[9/8]], or by lowering [[13/8]] by [[11/9]]. | ||
Note that ''major minthmic'' modifies ''fourth'' and that ''major minthmic'' is the name of the temperament that tempers out 352/351. ''Major'' does not specify the size of the interval here. | |||
== See also == | == See also == | ||
* [[176/117]] – its [[octave complement]] | * [[176/117]] – its [[octave complement]] | ||
* [[44/39]] – its [[fifth complement]] | |||
* [[Gallery of just intervals]] | * [[Gallery of just intervals]] | ||
[[Category:Fourth]] | [[Category:Fourth]] | ||
[[Category: | [[Category:Major minthmic]] | ||
Latest revision as of 14:23, 15 January 2024
| Interval information |
[sound info]
117/88 is the major minthmic fourth, a 13-limit ratio with a value of 493 cents. It is 352/351 against the just perfect fourth of 4/3. It arises in 13-limit just intonation by stacking 13/11 and 9/8, or by lowering 13/8 by 11/9.
Note that major minthmic modifies fourth and that major minthmic is the name of the temperament that tempers out 352/351. Major does not specify the size of the interval here.