24/19
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Ratio
24/19
Subgroup monzo
2.3.19 [3 1 -1⟩
Size in cents
404.442¢
Names
small undevicesimal major third,
Boethius' major third
Color name
19u3, inu 3rd
FJS name
[math]\text{M3}_{19}[/math]
Special properties
reduced
Tenney height (log2 nd)
8.83289
Weil height (log2 max(n, d))
9.16993
Wilson height (sopfr(nd))
28
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.21794 bits
[sound info]
Open this interval in xen-calc
| Interval information |
Boethius' major third
(Shannon, [math]\sqrt{nd}[/math])
[sound info]
24/19, the small undevicesimal major third or Boethius' major third, is a 19-limit interval that is very close to the major third of 12edo (400 cents). It is an undevicesimal comma aka Boethius' comma (513/512) below the Pythagorean major third (81/64).
See also
- 19/12 – its octave complement
- 19/16 – its fifth complement
- 19/15 – the large undevicesimal major third
- Gallery of just intervals