User:Hotcrystal0/364/243

Interval information

Ratio	364/243
Factorization	22 × 3-5 × 7 × 13
Monzo	[2 -5 0 1 0 1⟩
Size in cents	699.5786¢
Name	squbemic fifth
Color name	3oz6, thozo 6th
FJS name	[math]\displaystyle{ \text{d6}^{7,13} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	16.4326
Weil norm (log2 max(n, d))	17.0156
Wilson norm (sopfr(nd))	39
Open this interval in xen-calc

364/243, the squbemic fifth, is the interval between the 364th and 243rd harmonics, and can be created by stacking 13/9 and 28/27. It is 729/728 below the 3/2 perfect fifth, and is very close to 7 steps of 12edo.

Edo approximations for Hotcrystal0/364/243 (699.58 ¢)
≤ 80edo, relative error ≤ 10%

Edo	Step size	Cents (¢)	Absolute error (¢)	Relative error (%)
5	3\5	720.00	+20.42	+8.51
7	4\7	685.71	-13.86	-8.09
12	7\12	700.00	+0.42	+0.42
17	10\17	705.88	+6.30	+8.93
19	11\19	694.74	-4.84	-7.67
24	14\24	700.00	+0.42	+0.84
29	17\29	703.45	+3.87	+9.35
31	18\31	696.77	-2.80	-7.24
36	21\36	700.00	+0.42	+1.26
41	24\41	702.44	+2.86	+9.77
43	25\43	697.67	-1.90	-6.82
48	28\48	700.00	+0.42	+1.69
55	32\55	698.18	-1.40	-6.40
60	35\60	700.00	+0.42	+2.11
67	39\67	698.51	-1.07	-5.98
72	42\72	700.00	+0.42	+2.53
79	46\79	698.73	-0.84	-5.56