User:MisterShafXen/41L 5s

41L 5s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 41 large steps and 5 small steps, repeating every octave. 41L 5s is related to 5L 1s, expanding it by 40 tones. Generators that produce this scale range from 965.2 ¢ to 965.9 ¢, or from 234.1 ¢ to 234.8 ¢.

↖ 40L 4s	↑ 41L 4s	42L 4s ↗
← 40L 5s	41L 5s	42L 5s →
↙ 40L 6s	↓ 41L 6s	42L 6s ↘

Scale structure
Step pattern	...46 steps...
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	37\46 to 33\41 (965.2 ¢ to 965.9 ¢)
Dark	8\41 to 9\46 (234.1 ¢ to 234.8 ¢)
TAMNAMS information
Related to	5L 1s (machinoid)
With tunings	8:1 to 9:1
Related MOS scales
Parent	5L 36s
Sister	5L 41s
Daughters	46L 41s, 41L 46s
Neutralized	36L 10s
2-Flought	87L 5s, 41L 51s
Equal tunings
Equalized (L:s = 1:1)	37\46 (965.2 ¢)
Supersoft (L:s = 4:3)	144\179 (965.4 ¢)
Soft (L:s = 3:2)	107\133 (965.4 ¢)
Semisoft (L:s = 5:3)	177\220 (965.5 ¢)
Basic (L:s = 2:1)	70\87 (965.5 ¢)
Semihard (L:s = 5:2)	173\215 (965.6 ¢)
Hard (L:s = 3:1)	103\128 (965.6 ¢)
Superhard (L:s = 4:1)	136\169 (965.7 ¢)
Collapsed (L:s = 1:0)	33\41 (965.9 ¢)
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Scale properties

Intervals of 41L 5s

Intervals			Steps subtended	Range in cents
Generic	Specific	Abbrev.
0-mosstep	Perfect 0-mosstep	P0ms	0	0.0 ¢
1-mosstep	Minor 1-mosstep	m1ms	s	0.0 ¢ to 26.1 ¢
	Major 1-mosstep	M1ms	L	26.1 ¢ to 29.3 ¢
2-mosstep	Minor 2-mosstep	m2ms	L + s	29.3 ¢ to 52.2 ¢
	Major 2-mosstep	M2ms	2L	52.2 ¢ to 58.5 ¢
3-mosstep	Minor 3-mosstep	m3ms	2L + s	58.5 ¢ to 78.3 ¢
	Major 3-mosstep	M3ms	3L	78.3 ¢ to 87.8 ¢
4-mosstep	Minor 4-mosstep	m4ms	3L + s	87.8 ¢ to 104.3 ¢
	Major 4-mosstep	M4ms	4L	104.3 ¢ to 117.1 ¢
5-mosstep	Minor 5-mosstep	m5ms	4L + s	117.1 ¢ to 130.4 ¢
	Major 5-mosstep	M5ms	5L	130.4 ¢ to 146.3 ¢
6-mosstep	Minor 6-mosstep	m6ms	5L + s	146.3 ¢ to 156.5 ¢
	Major 6-mosstep	M6ms	6L	156.5 ¢ to 175.6 ¢
7-mosstep	Minor 7-mosstep	m7ms	6L + s	175.6 ¢ to 182.6 ¢
	Major 7-mosstep	M7ms	7L	182.6 ¢ to 204.9 ¢
8-mosstep	Minor 8-mosstep	m8ms	7L + s	204.9 ¢ to 208.7 ¢
	Major 8-mosstep	M8ms	8L	208.7 ¢ to 234.1 ¢
9-mosstep	Perfect 9-mosstep	P9ms	8L + s	234.1 ¢ to 234.8 ¢
	Augmented 9-mosstep	A9ms	9L	234.8 ¢ to 263.4 ¢
10-mosstep	Minor 10-mosstep	m10ms	8L + 2s	234.1 ¢ to 260.9 ¢
	Major 10-mosstep	M10ms	9L + s	260.9 ¢ to 263.4 ¢
11-mosstep	Minor 11-mosstep	m11ms	9L + 2s	263.4 ¢ to 287.0 ¢
	Major 11-mosstep	M11ms	10L + s	287.0 ¢ to 292.7 ¢
12-mosstep	Minor 12-mosstep	m12ms	10L + 2s	292.7 ¢ to 313.0 ¢
	Major 12-mosstep	M12ms	11L + s	313.0 ¢ to 322.0 ¢
13-mosstep	Minor 13-mosstep	m13ms	11L + 2s	322.0 ¢ to 339.1 ¢
	Major 13-mosstep	M13ms	12L + s	339.1 ¢ to 351.2 ¢
14-mosstep	Minor 14-mosstep	m14ms	12L + 2s	351.2 ¢ to 365.2 ¢
	Major 14-mosstep	M14ms	13L + s	365.2 ¢ to 380.5 ¢
15-mosstep	Minor 15-mosstep	m15ms	13L + 2s	380.5 ¢ to 391.3 ¢
	Major 15-mosstep	M15ms	14L + s	391.3 ¢ to 409.8 ¢
16-mosstep	Minor 16-mosstep	m16ms	14L + 2s	409.8 ¢ to 417.4 ¢
	Major 16-mosstep	M16ms	15L + s	417.4 ¢ to 439.0 ¢
17-mosstep	Minor 17-mosstep	m17ms	15L + 2s	439.0 ¢ to 443.5 ¢
	Major 17-mosstep	M17ms	16L + s	443.5 ¢ to 468.3 ¢
18-mosstep	Minor 18-mosstep	m18ms	16L + 2s	468.3 ¢ to 469.6 ¢
	Major 18-mosstep	M18ms	17L + s	469.6 ¢ to 497.6 ¢
19-mosstep	Minor 19-mosstep	m19ms	16L + 3s	468.3 ¢ to 495.7 ¢
	Major 19-mosstep	M19ms	17L + 2s	495.7 ¢ to 497.6 ¢
20-mosstep	Minor 20-mosstep	m20ms	17L + 3s	497.6 ¢ to 521.7 ¢
	Major 20-mosstep	M20ms	18L + 2s	521.7 ¢ to 526.8 ¢
21-mosstep	Minor 21-mosstep	m21ms	18L + 3s	526.8 ¢ to 547.8 ¢
	Major 21-mosstep	M21ms	19L + 2s	547.8 ¢ to 556.1 ¢
22-mosstep	Minor 22-mosstep	m22ms	19L + 3s	556.1 ¢ to 573.9 ¢
	Major 22-mosstep	M22ms	20L + 2s	573.9 ¢ to 585.4 ¢
23-mosstep	Minor 23-mosstep	m23ms	20L + 3s	585.4 ¢ to 600.0 ¢
	Major 23-mosstep	M23ms	21L + 2s	600.0 ¢ to 614.6 ¢
24-mosstep	Minor 24-mosstep	m24ms	21L + 3s	614.6 ¢ to 626.1 ¢
	Major 24-mosstep	M24ms	22L + 2s	626.1 ¢ to 643.9 ¢
25-mosstep	Minor 25-mosstep	m25ms	22L + 3s	643.9 ¢ to 652.2 ¢
	Major 25-mosstep	M25ms	23L + 2s	652.2 ¢ to 673.2 ¢
26-mosstep	Minor 26-mosstep	m26ms	23L + 3s	673.2 ¢ to 678.3 ¢
	Major 26-mosstep	M26ms	24L + 2s	678.3 ¢ to 702.4 ¢
27-mosstep	Minor 27-mosstep	m27ms	24L + 3s	702.4 ¢ to 704.3 ¢
	Major 27-mosstep	M27ms	25L + 2s	704.3 ¢ to 731.7 ¢
28-mosstep	Minor 28-mosstep	m28ms	24L + 4s	702.4 ¢ to 730.4 ¢
	Major 28-mosstep	M28ms	25L + 3s	730.4 ¢ to 731.7 ¢
29-mosstep	Minor 29-mosstep	m29ms	25L + 4s	731.7 ¢ to 756.5 ¢
	Major 29-mosstep	M29ms	26L + 3s	756.5 ¢ to 761.0 ¢
30-mosstep	Minor 30-mosstep	m30ms	26L + 4s	761.0 ¢ to 782.6 ¢
	Major 30-mosstep	M30ms	27L + 3s	782.6 ¢ to 790.2 ¢
31-mosstep	Minor 31-mosstep	m31ms	27L + 4s	790.2 ¢ to 808.7 ¢
	Major 31-mosstep	M31ms	28L + 3s	808.7 ¢ to 819.5 ¢
32-mosstep	Minor 32-mosstep	m32ms	28L + 4s	819.5 ¢ to 834.8 ¢
	Major 32-mosstep	M32ms	29L + 3s	834.8 ¢ to 848.8 ¢
33-mosstep	Minor 33-mosstep	m33ms	29L + 4s	848.8 ¢ to 860.9 ¢
	Major 33-mosstep	M33ms	30L + 3s	860.9 ¢ to 878.0 ¢
34-mosstep	Minor 34-mosstep	m34ms	30L + 4s	878.0 ¢ to 887.0 ¢
	Major 34-mosstep	M34ms	31L + 3s	887.0 ¢ to 907.3 ¢
35-mosstep	Minor 35-mosstep	m35ms	31L + 4s	907.3 ¢ to 913.0 ¢
	Major 35-mosstep	M35ms	32L + 3s	913.0 ¢ to 936.6 ¢
36-mosstep	Minor 36-mosstep	m36ms	32L + 4s	936.6 ¢ to 939.1 ¢
	Major 36-mosstep	M36ms	33L + 3s	939.1 ¢ to 965.9 ¢
37-mosstep	Diminished 37-mosstep	d37ms	32L + 5s	936.6 ¢ to 965.2 ¢
	Perfect 37-mosstep	P37ms	33L + 4s	965.2 ¢ to 965.9 ¢
38-mosstep	Minor 38-mosstep	m38ms	33L + 5s	965.9 ¢ to 991.3 ¢
	Major 38-mosstep	M38ms	34L + 4s	991.3 ¢ to 995.1 ¢
39-mosstep	Minor 39-mosstep	m39ms	34L + 5s	995.1 ¢ to 1017.4 ¢
	Major 39-mosstep	M39ms	35L + 4s	1017.4 ¢ to 1024.4 ¢
40-mosstep	Minor 40-mosstep	m40ms	35L + 5s	1024.4 ¢ to 1043.5 ¢
	Major 40-mosstep	M40ms	36L + 4s	1043.5 ¢ to 1053.7 ¢
41-mosstep	Minor 41-mosstep	m41ms	36L + 5s	1053.7 ¢ to 1069.6 ¢
	Major 41-mosstep	M41ms	37L + 4s	1069.6 ¢ to 1082.9 ¢
42-mosstep	Minor 42-mosstep	m42ms	37L + 5s	1082.9 ¢ to 1095.7 ¢
	Major 42-mosstep	M42ms	38L + 4s	1095.7 ¢ to 1112.2 ¢
43-mosstep	Minor 43-mosstep	m43ms	38L + 5s	1112.2 ¢ to 1121.7 ¢
	Major 43-mosstep	M43ms	39L + 4s	1121.7 ¢ to 1141.5 ¢
44-mosstep	Minor 44-mosstep	m44ms	39L + 5s	1141.5 ¢ to 1147.8 ¢
	Major 44-mosstep	M44ms	40L + 4s	1147.8 ¢ to 1170.7 ¢
45-mosstep	Minor 45-mosstep	m45ms	40L + 5s	1170.7 ¢ to 1173.9 ¢
	Major 45-mosstep	M45ms	41L + 4s	1173.9 ¢ to 1200.0 ¢
46-mosstep	Perfect 46-mosstep	P46ms	41L + 5s	1200.0 ¢

Generator chain of 41L 5s

Bright gens	Scale degree	Abbrev.
86	Augmented 8-mosdegree	A8md
85	Augmented 17-mosdegree	A17md
84	Augmented 26-mosdegree	A26md
83	Augmented 35-mosdegree	A35md
82	Augmented 44-mosdegree	A44md
81	Augmented 7-mosdegree	A7md
80	Augmented 16-mosdegree	A16md
79	Augmented 25-mosdegree	A25md
78	Augmented 34-mosdegree	A34md
77	Augmented 43-mosdegree	A43md
76	Augmented 6-mosdegree	A6md
75	Augmented 15-mosdegree	A15md
74	Augmented 24-mosdegree	A24md
73	Augmented 33-mosdegree	A33md
72	Augmented 42-mosdegree	A42md
71	Augmented 5-mosdegree	A5md
70	Augmented 14-mosdegree	A14md
69	Augmented 23-mosdegree	A23md
68	Augmented 32-mosdegree	A32md
67	Augmented 41-mosdegree	A41md
66	Augmented 4-mosdegree	A4md
65	Augmented 13-mosdegree	A13md
64	Augmented 22-mosdegree	A22md
63	Augmented 31-mosdegree	A31md
62	Augmented 40-mosdegree	A40md
61	Augmented 3-mosdegree	A3md
60	Augmented 12-mosdegree	A12md
59	Augmented 21-mosdegree	A21md
58	Augmented 30-mosdegree	A30md
57	Augmented 39-mosdegree	A39md
56	Augmented 2-mosdegree	A2md
55	Augmented 11-mosdegree	A11md
54	Augmented 20-mosdegree	A20md
53	Augmented 29-mosdegree	A29md
52	Augmented 38-mosdegree	A38md
51	Augmented 1-mosdegree	A1md
50	Augmented 10-mosdegree	A10md
49	Augmented 19-mosdegree	A19md
48	Augmented 28-mosdegree	A28md
47	Augmented 37-mosdegree	A37md
46	Augmented 0-mosdegree	A0md
45	Augmented 9-mosdegree	A9md
44	Major 18-mosdegree	M18md
43	Major 27-mosdegree	M27md
42	Major 36-mosdegree	M36md
41	Major 45-mosdegree	M45md
40	Major 8-mosdegree	M8md
39	Major 17-mosdegree	M17md
38	Major 26-mosdegree	M26md
37	Major 35-mosdegree	M35md
36	Major 44-mosdegree	M44md
35	Major 7-mosdegree	M7md
34	Major 16-mosdegree	M16md
33	Major 25-mosdegree	M25md
32	Major 34-mosdegree	M34md
31	Major 43-mosdegree	M43md
30	Major 6-mosdegree	M6md
29	Major 15-mosdegree	M15md
28	Major 24-mosdegree	M24md
27	Major 33-mosdegree	M33md
26	Major 42-mosdegree	M42md
25	Major 5-mosdegree	M5md
24	Major 14-mosdegree	M14md
23	Major 23-mosdegree	M23md
22	Major 32-mosdegree	M32md
21	Major 41-mosdegree	M41md
20	Major 4-mosdegree	M4md
19	Major 13-mosdegree	M13md
18	Major 22-mosdegree	M22md
17	Major 31-mosdegree	M31md
16	Major 40-mosdegree	M40md
15	Major 3-mosdegree	M3md
14	Major 12-mosdegree	M12md
13	Major 21-mosdegree	M21md
12	Major 30-mosdegree	M30md
11	Major 39-mosdegree	M39md
10	Major 2-mosdegree	M2md
9	Major 11-mosdegree	M11md
8	Major 20-mosdegree	M20md
7	Major 29-mosdegree	M29md
6	Major 38-mosdegree	M38md
5	Major 1-mosdegree	M1md
4	Major 10-mosdegree	M10md
3	Major 19-mosdegree	M19md
2	Major 28-mosdegree	M28md
1	Perfect 37-mosdegree	P37md
0	Perfect 0-mosdegree Perfect 46-mosdegree	P0md P46md
−1	Perfect 9-mosdegree	P9md
−2	Minor 18-mosdegree	m18md
−3	Minor 27-mosdegree	m27md
−4	Minor 36-mosdegree	m36md
−5	Minor 45-mosdegree	m45md
−6	Minor 8-mosdegree	m8md
−7	Minor 17-mosdegree	m17md
−8	Minor 26-mosdegree	m26md
−9	Minor 35-mosdegree	m35md
−10	Minor 44-mosdegree	m44md
−11	Minor 7-mosdegree	m7md
−12	Minor 16-mosdegree	m16md
−13	Minor 25-mosdegree	m25md
−14	Minor 34-mosdegree	m34md
−15	Minor 43-mosdegree	m43md
−16	Minor 6-mosdegree	m6md
−17	Minor 15-mosdegree	m15md
−18	Minor 24-mosdegree	m24md
−19	Minor 33-mosdegree	m33md
−20	Minor 42-mosdegree	m42md
−21	Minor 5-mosdegree	m5md
−22	Minor 14-mosdegree	m14md
−23	Minor 23-mosdegree	m23md
−24	Minor 32-mosdegree	m32md
−25	Minor 41-mosdegree	m41md
−26	Minor 4-mosdegree	m4md
−27	Minor 13-mosdegree	m13md
−28	Minor 22-mosdegree	m22md
−29	Minor 31-mosdegree	m31md
−30	Minor 40-mosdegree	m40md
−31	Minor 3-mosdegree	m3md
−32	Minor 12-mosdegree	m12md
−33	Minor 21-mosdegree	m21md
−34	Minor 30-mosdegree	m30md
−35	Minor 39-mosdegree	m39md
−36	Minor 2-mosdegree	m2md
−37	Minor 11-mosdegree	m11md
−38	Minor 20-mosdegree	m20md
−39	Minor 29-mosdegree	m29md
−40	Minor 38-mosdegree	m38md
−41	Minor 1-mosdegree	m1md
−42	Minor 10-mosdegree	m10md
−43	Minor 19-mosdegree	m19md
−44	Minor 28-mosdegree	m28md
−45	Diminished 37-mosdegree	d37md
−46	Diminished 46-mosdegree	d46md
−47	Diminished 9-mosdegree	d9md
−48	Diminished 18-mosdegree	d18md
−49	Diminished 27-mosdegree	d27md
−50	Diminished 36-mosdegree	d36md
−51	Diminished 45-mosdegree	d45md
−52	Diminished 8-mosdegree	d8md
−53	Diminished 17-mosdegree	d17md
−54	Diminished 26-mosdegree	d26md
−55	Diminished 35-mosdegree	d35md
−56	Diminished 44-mosdegree	d44md
−57	Diminished 7-mosdegree	d7md
−58	Diminished 16-mosdegree	d16md
−59	Diminished 25-mosdegree	d25md
−60	Diminished 34-mosdegree	d34md
−61	Diminished 43-mosdegree	d43md
−62	Diminished 6-mosdegree	d6md
−63	Diminished 15-mosdegree	d15md
−64	Diminished 24-mosdegree	d24md
−65	Diminished 33-mosdegree	d33md
−66	Diminished 42-mosdegree	d42md
−67	Diminished 5-mosdegree	d5md
−68	Diminished 14-mosdegree	d14md
−69	Diminished 23-mosdegree	d23md
−70	Diminished 32-mosdegree	d32md
−71	Diminished 41-mosdegree	d41md
−72	Diminished 4-mosdegree	d4md
−73	Diminished 13-mosdegree	d13md
−74	Diminished 22-mosdegree	d22md
−75	Diminished 31-mosdegree	d31md
−76	Diminished 40-mosdegree	d40md
−77	Diminished 3-mosdegree	d3md
−78	Diminished 12-mosdegree	d12md
−79	Diminished 21-mosdegree	d21md
−80	Diminished 30-mosdegree	d30md
−81	Diminished 39-mosdegree	d39md
−82	Diminished 2-mosdegree	d2md
−83	Diminished 11-mosdegree	d11md
−84	Diminished 20-mosdegree	d20md
−85	Diminished 29-mosdegree	d29md
−86	Diminished 38-mosdegree	d38md

Modes of 41L 5s

UDP	Cyclic order	Step pattern
45|0	1	LLLLLLLLLsLLLLLLLLsLLLLLLLLsLLLLLLLLsLLLLLLLLs
44|1	38	LLLLLLLLsLLLLLLLLLsLLLLLLLLsLLLLLLLLsLLLLLLLLs
43|2	29	LLLLLLLLsLLLLLLLLsLLLLLLLLLsLLLLLLLLsLLLLLLLLs
42|3	20	LLLLLLLLsLLLLLLLLsLLLLLLLLsLLLLLLLLLsLLLLLLLLs
41|4	11	LLLLLLLLsLLLLLLLLsLLLLLLLLsLLLLLLLLsLLLLLLLLLs
40|5	2	LLLLLLLLsLLLLLLLLsLLLLLLLLsLLLLLLLLsLLLLLLLLsL
39|6	39	LLLLLLLsLLLLLLLLLsLLLLLLLLsLLLLLLLLsLLLLLLLLsL
38|7	30	LLLLLLLsLLLLLLLLsLLLLLLLLLsLLLLLLLLsLLLLLLLLsL
37|8	21	LLLLLLLsLLLLLLLLsLLLLLLLLsLLLLLLLLLsLLLLLLLLsL
36|9	12	LLLLLLLsLLLLLLLLsLLLLLLLLsLLLLLLLLsLLLLLLLLLsL
35|10	3	LLLLLLLsLLLLLLLLsLLLLLLLLsLLLLLLLLsLLLLLLLLsLL
34|11	40	LLLLLLsLLLLLLLLLsLLLLLLLLsLLLLLLLLsLLLLLLLLsLL
33|12	31	LLLLLLsLLLLLLLLsLLLLLLLLLsLLLLLLLLsLLLLLLLLsLL
32|13	22	LLLLLLsLLLLLLLLsLLLLLLLLsLLLLLLLLLsLLLLLLLLsLL
31|14	13	LLLLLLsLLLLLLLLsLLLLLLLLsLLLLLLLLsLLLLLLLLLsLL
30|15	4	LLLLLLsLLLLLLLLsLLLLLLLLsLLLLLLLLsLLLLLLLLsLLL
29|16	41	LLLLLsLLLLLLLLLsLLLLLLLLsLLLLLLLLsLLLLLLLLsLLL
28|17	32	LLLLLsLLLLLLLLsLLLLLLLLLsLLLLLLLLsLLLLLLLLsLLL
27|18	23	LLLLLsLLLLLLLLsLLLLLLLLsLLLLLLLLLsLLLLLLLLsLLL
26|19	14	LLLLLsLLLLLLLLsLLLLLLLLsLLLLLLLLsLLLLLLLLLsLLL
25|20	5	LLLLLsLLLLLLLLsLLLLLLLLsLLLLLLLLsLLLLLLLLsLLLL
24|21	42	LLLLsLLLLLLLLLsLLLLLLLLsLLLLLLLLsLLLLLLLLsLLLL
23|22	33	LLLLsLLLLLLLLsLLLLLLLLLsLLLLLLLLsLLLLLLLLsLLLL
22|23	24	LLLLsLLLLLLLLsLLLLLLLLsLLLLLLLLLsLLLLLLLLsLLLL
21|24	15	LLLLsLLLLLLLLsLLLLLLLLsLLLLLLLLsLLLLLLLLLsLLLL
20|25	6	LLLLsLLLLLLLLsLLLLLLLLsLLLLLLLLsLLLLLLLLsLLLLL
19|26	43	LLLsLLLLLLLLLsLLLLLLLLsLLLLLLLLsLLLLLLLLsLLLLL
18|27	34	LLLsLLLLLLLLsLLLLLLLLLsLLLLLLLLsLLLLLLLLsLLLLL
17|28	25	LLLsLLLLLLLLsLLLLLLLLsLLLLLLLLLsLLLLLLLLsLLLLL
16|29	16	LLLsLLLLLLLLsLLLLLLLLsLLLLLLLLsLLLLLLLLLsLLLLL
15|30	7	LLLsLLLLLLLLsLLLLLLLLsLLLLLLLLsLLLLLLLLsLLLLLL
14|31	44	LLsLLLLLLLLLsLLLLLLLLsLLLLLLLLsLLLLLLLLsLLLLLL
13|32	35	LLsLLLLLLLLsLLLLLLLLLsLLLLLLLLsLLLLLLLLsLLLLLL
12|33	26	LLsLLLLLLLLsLLLLLLLLsLLLLLLLLLsLLLLLLLLsLLLLLL
11|34	17	LLsLLLLLLLLsLLLLLLLLsLLLLLLLLsLLLLLLLLLsLLLLLL
10|35	8	LLsLLLLLLLLsLLLLLLLLsLLLLLLLLsLLLLLLLLsLLLLLLL
9|36	45	LsLLLLLLLLLsLLLLLLLLsLLLLLLLLsLLLLLLLLsLLLLLLL
8|37	36	LsLLLLLLLLsLLLLLLLLLsLLLLLLLLsLLLLLLLLsLLLLLLL
7|38	27	LsLLLLLLLLsLLLLLLLLsLLLLLLLLLsLLLLLLLLsLLLLLLL
6|39	18	LsLLLLLLLLsLLLLLLLLsLLLLLLLLsLLLLLLLLLsLLLLLLL
5|40	9	LsLLLLLLLLsLLLLLLLLsLLLLLLLLsLLLLLLLLsLLLLLLLL
4|41	46	sLLLLLLLLLsLLLLLLLLsLLLLLLLLsLLLLLLLLsLLLLLLLL
3|42	37	sLLLLLLLLsLLLLLLLLLsLLLLLLLLsLLLLLLLLsLLLLLLLL
2|43	28	sLLLLLLLLsLLLLLLLLsLLLLLLLLLsLLLLLLLLsLLLLLLLL
1|44	19	sLLLLLLLLsLLLLLLLLsLLLLLLLLsLLLLLLLLLsLLLLLLLL
0|45	10	sLLLLLLLLsLLLLLLLLsLLLLLLLLsLLLLLLLLsLLLLLLLLL

Scale tree

Scale tree and tuning spectrum of 41L 5s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
37\46						965.217	234.783	1:1	1.000	Equalized 41L 5s
					218\271	965.314	234.686	6:5	1.200
				181\225		965.333	234.667	5:4	1.250
					325\404	965.347	234.653	9:7	1.286
			144\179			965.363	234.637	4:3	1.333	Supersoft 41L 5s
					395\491	965.377	234.623	11:8	1.375
				251\312		965.385	234.615	7:5	1.400
					358\445	965.393	234.607	10:7	1.429
		107\133				965.414	234.586	3:2	1.500	Soft 41L 5s
					391\486	965.432	234.568	11:7	1.571
				284\353		965.439	234.561	8:5	1.600
					461\573	965.445	234.555	13:8	1.625
			177\220			965.455	234.545	5:3	1.667	Semisoft 41L 5s
					424\527	965.465	234.535	12:7	1.714
				247\307		965.472	234.528	7:4	1.750
					317\394	965.482	234.518	9:5	1.800
	70\87					965.517	234.483	2:1	2.000	Basic 41L 5s Scales with tunings softer than this are proper
					313\389	965.553	234.447	9:4	2.250
				243\302		965.563	234.437	7:3	2.333
					416\517	965.571	234.429	12:5	2.400
			173\215			965.581	234.419	5:2	2.500	Semihard 41L 5s
					449\558	965.591	234.409	13:5	2.600
				276\343		965.598	234.402	8:3	2.667
					379\471	965.605	234.395	11:4	2.750
		103\128				965.625	234.375	3:1	3.000	Hard 41L 5s
					342\425	965.647	234.353	10:3	3.333
				239\297		965.657	234.343	7:2	3.500
					375\466	965.665	234.335	11:3	3.667
			136\169			965.680	234.320	4:1	4.000	Superhard 41L 5s
					305\379	965.699	234.301	9:2	4.500
				169\210		965.714	234.286	5:1	5.000
					202\251	965.737	234.263	6:1	6.000
33\41						965.854	234.146	1:0	→ ∞	Collapsed 41L 5s