176/117: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Name = major minthmic fifth | | Name = major-minthmic fifth | ||
| Color name = 3u1o5, thulo 5th | | Color name = 3u1o5, thulo 5th | ||
| Sound = Ji-176-117-csound-foscil-220hz.mp3 | | Sound = Ji-176-117-csound-foscil-220hz.mp3 | ||
}} | }} | ||
'''176/117''', the '''major minthmic fifth''', is a [[13-limit]] [[interval]] of 706.8{{cent}}. It is [[352/351]] sharp of the just perfect fifth of [[3/2]]. It arises in 13-limit [[just intonation]] by lowering [[22/13]] by [[9/8]] or by stacking [[16/13]] and [[11/9]]. | '''176/117''', the '''major-minthmic fifth''', is a [[13-limit]] [[interval]] of 706.8{{cent}}. It is [[352/351]] sharp of the just perfect fifth of [[3/2]]. It arises in 13-limit [[just intonation]] by lowering [[22/13]] by [[9/8]] or by stacking [[16/13]] and [[11/9]]. | ||
Note that ''major minthmic'' modifies ''fifth'' 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. | Note that ''major-minthmic'' modifies ''fifth'' 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 == | ||
* [[117/88]] – its [[octave complement]] | * [[117/88]] – its [[octave complement]] | ||
* [[182/121]] – the minor minthmic fifth | * [[182/121]] – the minor-minthmic fifth | ||
* [[Gallery of just intervals]] | * [[Gallery of just intervals]] | ||
[[Category:Fifth]] | [[Category:Fifth]] | ||
[[Category:Major minthmic]] | [[Category:Major minthmic]] | ||
Revision as of 11:44, 22 July 2026
| Interval information |
[sound info]
176/117, the major-minthmic fifth, is a 13-limit interval of 706.8 ¢. It is 352/351 sharp of the just perfect fifth of 3/2. It arises in 13-limit just intonation by lowering 22/13 by 9/8 or by stacking 16/13 and 11/9.
Note that major-minthmic modifies fifth 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
- 117/88 – its octave complement
- 182/121 – the minor-minthmic fifth
- Gallery of just intervals