24/19

Interval information

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
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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