243/224: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Name = septimal subtone
| Name = septimal subtone
| Color name = Lr1, laru unison
| Sound = jid_243_224_pluck_adu_dr220.mp3
| Sound = jid_243_224_pluck_adu_dr220.mp3
| Comma = yes
| Comma = yes

Revision as of 02:34, 29 December 2022

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. 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