35/24: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Icon =
| Ratio = 35/24
| Monzo = -3 -1 1 1
| Cents = 653.18462
| Name = septimal subfifth
| Name = septimal subfifth
| Color name = zy5, zoyo 5th
| Color name = zy5, zoyo 5th
| Sound = jid_35_24_pluck_adu_dr220.mp3
| Sound = jid_35_24_pluck_adu_dr220.mp3
}}
}}
 
'''35/24''', the '''septimal subfifth''', is the interval between [[6/5]] and [[7/4]], and also between [[8/7]] and [[5/3]]. It is [[385/384]] sharp of [[16/11]], and tempering out 385/384 leads to [[keenanismic chords]] such as <span style="white-space: nowrap;">1-6/5-3/2-7/4</span> having all of their intervals counted as 11-limit consonances; since 385/384 is a small comma this works well in practice.
'''35/24''', the '''septimal subfifth''', is is the interval between [[6/5]] and [[7/4]], and also between [[8/7]] and [[5/3]]. It is 385/384 sharp of [[16/11]], and tempering out 385/384 leads to [[keenanismic chords]] such as <span style="white-space: nowrap;">1-6/5-3/2-7/4</span> having all of their intervals counted as 11-limit consonances; since 385/384 is a small comma this works well in practice.


== See also ==
== See also ==
* [[48/35]] -- its octave complement
* [[48/35]] -- its octave complement
* [[Iceface tuning]]
* [[Iceface tuning]]
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* [[Subfifth]]
* [[Subfifth]]


[[Category:7-limit]]
[[Category:Fifth]]
[[Category:Subfifth]]
[[Category:Subfifth]]
[[Category:Interval ratio]]

Latest revision as of 15:11, 25 October 2022

Interval information
Ratio 35/24
Factorization 2-3 × 3-1 × 5 × 7
Monzo [-3 -1 1 1⟩
Size in cents 653.1846¢
Name septimal subfifth
Color name zy5, zoyo 5th
FJS name [math]\displaystyle{ \text{P5}^{5,7} }[/math]
Special properties reduced
Tenney norm (log2 nd) 9.71425
Weil norm (log2 max(n, d)) 10.2586
Wilson norm (sopfr(nd)) 21

[sound info]
Open this interval in xen-calc

35/24, the septimal subfifth, is the interval between 6/5 and 7/4, and also between 8/7 and 5/3. It is 385/384 sharp of 16/11, and tempering out 385/384 leads to keenanismic chords such as 1-6/5-3/2-7/4 having all of their intervals counted as 11-limit consonances; since 385/384 is a small comma this works well in practice.

See also

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