Quartisma

Interval information

Ratio	117440512/117406179
Factorization	224 × 3-6 × 7 × 11-5
Monzo	[24 -6 0 1 -5⟩
Size in cents	0.5061895¢
Name	quartisma
Color name	Saquinlu-azo comma
FJS name	[math]\text{m3}^{7}_{11,11,11,11,11}[/math]
Special properties	reduced
Tenney height (log2 nd)	53.6143
Weil height (log2 max(n, d))	53.6147
Wilson height (sopfr(nd))	128
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math])	~1.20061 bits
Comma size	unnoticeable
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The quartisma is an unnoticeable 11-limit comma with a ratio of 117440512/117406179 and a value of approximately 0.5 cents. The quartisma is significant on account of it being the interval between a stack of five 33/32 quartertones and one 7/6 subminor third in Just Intonation- this significance in relation to quartertones being the source of its name. Tempering it out leads to a form of quartismic temperament. For a list of such temperaments, see The Quartercache.