224/195

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Interval information

Ratio	224/195
Factorization	25 × 3-1 × 5-1 × 7 × 13-1
Monzo	[5 -1 -1 1 0 -1⟩
Size in cents	240.0295¢
Names	quasi-tempered 1/5-octave, 5EDO-esque tone
Color name	3uzg3, thuzogu 3rd
FJS name	[math]\displaystyle{ \text{m3}^{7}_{5,13} }[/math]
Special properties	reduced
Tenney height (log2 nd)	15.4147
Weil height (log2 max(n, d))	15.6147
Wilson height (sopfr(nd))	38
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.21463 bits
Open this interval in xen-calc

224/195 is a 13-limit interval which is very accurately approximated by the step interval of 5EDO (quasi-tempered 1/5-octave). It is 225/224 flat of 15/13, and can be obtained by stacking 14/13 and 16/15.

See also

• 195/112 - its octave complement
• Gallery of just intervals
• Pentonisma - the amount by which a stack of five 224/195s exceed an octave