243/224: Difference between revisions

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'''243/224'''
{{Infobox Interval
|-5 5 0 -1>
| Name = septimal subtone
| Color name = Lr1, laru unison
| Sound = jid_243_224_pluck_adu_dr220.mp3
| Comma = yes
}}
'''243/224''', the '''septimal subtone''', is [[64/63]] sharp of [[2187/2048]] and [[81/80]] sharp of [[15/14]]. In the 13-limit, it is [[729/728]] (2.4{{cent}}) sharp of [[13/12]]. [[17edo|2\17]] is a good approximation to it. It is also a [[large comma]] equating five fifths ([[3/2]]) with the 7th [[harmonic]].


140.9491 cents
== See also ==
* [[Gallery of just intervals]]


[[File:jid_243_224_pluck_adu_dr220.mp3]] [[:File:jid_243_224_pluck_adu_dr220.mp3|sound sample]]
[[Category:Second]]
 
[[Category:Neutral second]]
243/224, the septimal subtone, is 729/728 (2.4 cents) sharp of [[13/12|13/12]] and is about 2\[[17edo|17]] of an octave.
[[Category:Semitone]]
[[Category:Chroma]]
[[Category:Commas named after their interval size]]

Latest revision as of 06:14, 18 June 2026

Interval information
Ratio 243/224
Factorization 2-5 × 35 × 7-1
Monzo [-5 5 0 -1⟩
Size in cents 140.9491¢
Name septimal subtone
Color name Lr1, laru unison
FJS name [math]\displaystyle{ \text{A1}_{7} }[/math]
Special properties reduced
Tenney norm (log2 nd) 15.7322
Weil norm (log2 max(n, d)) 15.8496
Wilson norm (sopfr(nd)) 32
Comma size large

[sound info]
Open this interval in xen-calc

243/224, the septimal subtone, is 64/63 sharp of 2187/2048 and 81/80 sharp of 15/14. In the 13-limit, it is 729/728 (2.4 ¢) sharp of 13/12. 2\17 is a good approximation to it. It is also a large comma equating five fifths (3/2) with the 7th harmonic.

See also

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