44/25

Interval information

Ratio	44/25
Factorization	22 × 5-2 × 11
Monzo	[2 0 -2 0 1⟩
Size in cents	978.6905¢
Names	ptolemismic minor seventh, undecimal grave minor seventh
Color name	1ogg7, logugu 7th
FJS name	[math]\displaystyle{ \text{d7}^{11}_{5,5} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	10.1033
Weil norm (log2 max(n, d))	10.9189
Wilson norm (sopfr(nd))	25
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44/25, the ptolemismic minor seventh or undecimal grave minor seventh, is an 11-limit interval. It is a valinorsma (176/175) sharp of the harmonic seventh (7/4) and a ptolemisma (100/99) flat of the Pythagorean minor seventh (16/9).

Approximation

Edo approximations for 44/25 (978.69 ¢)
≤ 80edo, relative error ≤ 10%

Edo	Step size	Cents (¢)	Absolute error (¢)	Relative error (%)
5	4\5	960.00	-18.69	-7.79
11	9\11	981.82	+3.13	+2.87
16	13\16	975.00	-3.69	-4.92
22	18\22	981.82	+3.13	+5.73
27	22\27	977.78	-0.91	-2.05
32	26\32	975.00	-3.69	-9.84
33	27\33	981.82	+3.13	+8.60
38	31\38	978.95	+0.26	+0.81
43	35\43	976.74	-1.95	-6.97
49	40\49	979.59	+0.90	+3.68
54	44\54	977.78	-0.91	-4.11
60	49\60	980.00	+1.31	+6.55
65	53\65	978.46	-0.23	-1.24
70	57\70	977.14	-1.55	-9.03
71	58\71	980.28	+1.59	+9.41
76	62\76	978.95	+0.26	+1.63

See also

• 25/22 – its octave complement
• Gallery of just intervals
• 25-odd-limit