User:Eliora/45L 1s

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↙ 44L 2s	↓ 45L 2s	46L 2s ↘

Scale structure
Step pattern	...46 steps...
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	1\46 to 1\45 (26.1 ¢ to 26.7 ¢)
Dark	44\45 to 45\46 (1173.3 ¢ to 1173.9 ¢)
TAMNAMS information
Related to	1L 9s (antisinatonic)
With tunings	36:1 to 37:1
Related MOS scales
Parent	1L 44s
Sister	1L 45s
Daughters	46L 45s, 45L 46s
Neutralized	44L 2s
2-Flought	91L 1s, 45L 47s
Equal tunings
Equalized (L:s = 1:1)	1\46 (26.1 ¢)
Supersoft (L:s = 4:3)	4\183 (26.2 ¢)
Soft (L:s = 3:2)	3\137 (26.3 ¢)
Semisoft (L:s = 5:3)	5\228 (26.3 ¢)
Basic (L:s = 2:1)	2\91 (26.4 ¢)
Semihard (L:s = 5:2)	5\227 (26.4 ¢)
Hard (L:s = 3:1)	3\136 (26.5 ¢)
Superhard (L:s = 4:1)	4\181 (26.5 ¢)
Collapsed (L:s = 1:0)	1\45 (26.7 ¢)
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45L 1s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 45 large steps and 1 small step, repeating every octave. 45L 1s is related to 1L 9s, expanding it by 36 tones. Generators that produce this scale range from 26.1 ¢ to 26.7 ¢, or from 1173.3 ¢ to 1173.9 ¢. Scales of this form are always proper because there is only one small step.

The proposed name is sfourthoid, referencing the sfourth temperament, which is defined as 45 & 46, hence covering the entire tuning spectrum.

Scale properties

Intervals of 45L 1s

Intervals			Steps subtended	Range in cents
Generic	Specific	Abbrev.
0-mosstep	Perfect 0-mosstep	P0ms	0	0.0 ¢
1-mosstep	Diminished 1-mosstep	d1ms	s	0.0 ¢ to 26.1 ¢
	Perfect 1-mosstep	P1ms	L	26.1 ¢ to 26.7 ¢
2-mosstep	Minor 2-mosstep	m2ms	L + s	26.7 ¢ to 52.2 ¢
	Major 2-mosstep	M2ms	2L	52.2 ¢ to 53.3 ¢
3-mosstep	Minor 3-mosstep	m3ms	2L + s	53.3 ¢ to 78.3 ¢
	Major 3-mosstep	M3ms	3L	78.3 ¢ to 80.0 ¢
4-mosstep	Minor 4-mosstep	m4ms	3L + s	80.0 ¢ to 104.3 ¢
	Major 4-mosstep	M4ms	4L	104.3 ¢ to 106.7 ¢
5-mosstep	Minor 5-mosstep	m5ms	4L + s	106.7 ¢ to 130.4 ¢
	Major 5-mosstep	M5ms	5L	130.4 ¢ to 133.3 ¢
6-mosstep	Minor 6-mosstep	m6ms	5L + s	133.3 ¢ to 156.5 ¢
	Major 6-mosstep	M6ms	6L	156.5 ¢ to 160.0 ¢
7-mosstep	Minor 7-mosstep	m7ms	6L + s	160.0 ¢ to 182.6 ¢
	Major 7-mosstep	M7ms	7L	182.6 ¢ to 186.7 ¢
8-mosstep	Minor 8-mosstep	m8ms	7L + s	186.7 ¢ to 208.7 ¢
	Major 8-mosstep	M8ms	8L	208.7 ¢ to 213.3 ¢
9-mosstep	Minor 9-mosstep	m9ms	8L + s	213.3 ¢ to 234.8 ¢
	Major 9-mosstep	M9ms	9L	234.8 ¢ to 240.0 ¢
10-mosstep	Minor 10-mosstep	m10ms	9L + s	240.0 ¢ to 260.9 ¢
	Major 10-mosstep	M10ms	10L	260.9 ¢ to 266.7 ¢
11-mosstep	Minor 11-mosstep	m11ms	10L + s	266.7 ¢ to 287.0 ¢
	Major 11-mosstep	M11ms	11L	287.0 ¢ to 293.3 ¢
12-mosstep	Minor 12-mosstep	m12ms	11L + s	293.3 ¢ to 313.0 ¢
	Major 12-mosstep	M12ms	12L	313.0 ¢ to 320.0 ¢
13-mosstep	Minor 13-mosstep	m13ms	12L + s	320.0 ¢ to 339.1 ¢
	Major 13-mosstep	M13ms	13L	339.1 ¢ to 346.7 ¢
14-mosstep	Minor 14-mosstep	m14ms	13L + s	346.7 ¢ to 365.2 ¢
	Major 14-mosstep	M14ms	14L	365.2 ¢ to 373.3 ¢
15-mosstep	Minor 15-mosstep	m15ms	14L + s	373.3 ¢ to 391.3 ¢
	Major 15-mosstep	M15ms	15L	391.3 ¢ to 400.0 ¢
16-mosstep	Minor 16-mosstep	m16ms	15L + s	400.0 ¢ to 417.4 ¢
	Major 16-mosstep	M16ms	16L	417.4 ¢ to 426.7 ¢
17-mosstep	Minor 17-mosstep	m17ms	16L + s	426.7 ¢ to 443.5 ¢
	Major 17-mosstep	M17ms	17L	443.5 ¢ to 453.3 ¢
18-mosstep	Minor 18-mosstep	m18ms	17L + s	453.3 ¢ to 469.6 ¢
	Major 18-mosstep	M18ms	18L	469.6 ¢ to 480.0 ¢
19-mosstep	Minor 19-mosstep	m19ms	18L + s	480.0 ¢ to 495.7 ¢
	Major 19-mosstep	M19ms	19L	495.7 ¢ to 506.7 ¢
20-mosstep	Minor 20-mosstep	m20ms	19L + s	506.7 ¢ to 521.7 ¢
	Major 20-mosstep	M20ms	20L	521.7 ¢ to 533.3 ¢
21-mosstep	Minor 21-mosstep	m21ms	20L + s	533.3 ¢ to 547.8 ¢
	Major 21-mosstep	M21ms	21L	547.8 ¢ to 560.0 ¢
22-mosstep	Minor 22-mosstep	m22ms	21L + s	560.0 ¢ to 573.9 ¢
	Major 22-mosstep	M22ms	22L	573.9 ¢ to 586.7 ¢
23-mosstep	Minor 23-mosstep	m23ms	22L + s	586.7 ¢ to 600.0 ¢
	Major 23-mosstep	M23ms	23L	600.0 ¢ to 613.3 ¢
24-mosstep	Minor 24-mosstep	m24ms	23L + s	613.3 ¢ to 626.1 ¢
	Major 24-mosstep	M24ms	24L	626.1 ¢ to 640.0 ¢
25-mosstep	Minor 25-mosstep	m25ms	24L + s	640.0 ¢ to 652.2 ¢
	Major 25-mosstep	M25ms	25L	652.2 ¢ to 666.7 ¢
26-mosstep	Minor 26-mosstep	m26ms	25L + s	666.7 ¢ to 678.3 ¢
	Major 26-mosstep	M26ms	26L	678.3 ¢ to 693.3 ¢
27-mosstep	Minor 27-mosstep	m27ms	26L + s	693.3 ¢ to 704.3 ¢
	Major 27-mosstep	M27ms	27L	704.3 ¢ to 720.0 ¢
28-mosstep	Minor 28-mosstep	m28ms	27L + s	720.0 ¢ to 730.4 ¢
	Major 28-mosstep	M28ms	28L	730.4 ¢ to 746.7 ¢
29-mosstep	Minor 29-mosstep	m29ms	28L + s	746.7 ¢ to 756.5 ¢
	Major 29-mosstep	M29ms	29L	756.5 ¢ to 773.3 ¢
30-mosstep	Minor 30-mosstep	m30ms	29L + s	773.3 ¢ to 782.6 ¢
	Major 30-mosstep	M30ms	30L	782.6 ¢ to 800.0 ¢
31-mosstep	Minor 31-mosstep	m31ms	30L + s	800.0 ¢ to 808.7 ¢
	Major 31-mosstep	M31ms	31L	808.7 ¢ to 826.7 ¢
32-mosstep	Minor 32-mosstep	m32ms	31L + s	826.7 ¢ to 834.8 ¢
	Major 32-mosstep	M32ms	32L	834.8 ¢ to 853.3 ¢
33-mosstep	Minor 33-mosstep	m33ms	32L + s	853.3 ¢ to 860.9 ¢
	Major 33-mosstep	M33ms	33L	860.9 ¢ to 880.0 ¢
34-mosstep	Minor 34-mosstep	m34ms	33L + s	880.0 ¢ to 887.0 ¢
	Major 34-mosstep	M34ms	34L	887.0 ¢ to 906.7 ¢
35-mosstep	Minor 35-mosstep	m35ms	34L + s	906.7 ¢ to 913.0 ¢
	Major 35-mosstep	M35ms	35L	913.0 ¢ to 933.3 ¢
36-mosstep	Minor 36-mosstep	m36ms	35L + s	933.3 ¢ to 939.1 ¢
	Major 36-mosstep	M36ms	36L	939.1 ¢ to 960.0 ¢
37-mosstep	Minor 37-mosstep	m37ms	36L + s	960.0 ¢ to 965.2 ¢
	Major 37-mosstep	M37ms	37L	965.2 ¢ to 986.7 ¢
38-mosstep	Minor 38-mosstep	m38ms	37L + s	986.7 ¢ to 991.3 ¢
	Major 38-mosstep	M38ms	38L	991.3 ¢ to 1013.3 ¢
39-mosstep	Minor 39-mosstep	m39ms	38L + s	1013.3 ¢ to 1017.4 ¢
	Major 39-mosstep	M39ms	39L	1017.4 ¢ to 1040.0 ¢
40-mosstep	Minor 40-mosstep	m40ms	39L + s	1040.0 ¢ to 1043.5 ¢
	Major 40-mosstep	M40ms	40L	1043.5 ¢ to 1066.7 ¢
41-mosstep	Minor 41-mosstep	m41ms	40L + s	1066.7 ¢ to 1069.6 ¢
	Major 41-mosstep	M41ms	41L	1069.6 ¢ to 1093.3 ¢
42-mosstep	Minor 42-mosstep	m42ms	41L + s	1093.3 ¢ to 1095.7 ¢
	Major 42-mosstep	M42ms	42L	1095.7 ¢ to 1120.0 ¢
43-mosstep	Minor 43-mosstep	m43ms	42L + s	1120.0 ¢ to 1121.7 ¢
	Major 43-mosstep	M43ms	43L	1121.7 ¢ to 1146.7 ¢
44-mosstep	Minor 44-mosstep	m44ms	43L + s	1146.7 ¢ to 1147.8 ¢
	Major 44-mosstep	M44ms	44L	1147.8 ¢ to 1173.3 ¢
45-mosstep	Perfect 45-mosstep	P45ms	44L + s	1173.3 ¢ to 1173.9 ¢
	Augmented 45-mosstep	A45ms	45L	1173.9 ¢ to 1200.0 ¢
46-mosstep	Perfect 46-mosstep	P46ms	45L + s	1200.0 ¢

Generator chain of 45L 1s

Bright gens	Scale degree	Abbrev.
90	Augmented 44-mosdegree	A44md
89	Augmented 43-mosdegree	A43md
88	Augmented 42-mosdegree	A42md
87	Augmented 41-mosdegree	A41md
86	Augmented 40-mosdegree	A40md
85	Augmented 39-mosdegree	A39md
84	Augmented 38-mosdegree	A38md
83	Augmented 37-mosdegree	A37md
82	Augmented 36-mosdegree	A36md
81	Augmented 35-mosdegree	A35md
80	Augmented 34-mosdegree	A34md
79	Augmented 33-mosdegree	A33md
78	Augmented 32-mosdegree	A32md
77	Augmented 31-mosdegree	A31md
76	Augmented 30-mosdegree	A30md
75	Augmented 29-mosdegree	A29md
74	Augmented 28-mosdegree	A28md
73	Augmented 27-mosdegree	A27md
72	Augmented 26-mosdegree	A26md
71	Augmented 25-mosdegree	A25md
70	Augmented 24-mosdegree	A24md
69	Augmented 23-mosdegree	A23md
68	Augmented 22-mosdegree	A22md
67	Augmented 21-mosdegree	A21md
66	Augmented 20-mosdegree	A20md
65	Augmented 19-mosdegree	A19md
64	Augmented 18-mosdegree	A18md
63	Augmented 17-mosdegree	A17md
62	Augmented 16-mosdegree	A16md
61	Augmented 15-mosdegree	A15md
60	Augmented 14-mosdegree	A14md
59	Augmented 13-mosdegree	A13md
58	Augmented 12-mosdegree	A12md
57	Augmented 11-mosdegree	A11md
56	Augmented 10-mosdegree	A10md
55	Augmented 9-mosdegree	A9md
54	Augmented 8-mosdegree	A8md
53	Augmented 7-mosdegree	A7md
52	Augmented 6-mosdegree	A6md
51	Augmented 5-mosdegree	A5md
50	Augmented 4-mosdegree	A4md
49	Augmented 3-mosdegree	A3md
48	Augmented 2-mosdegree	A2md
47	Augmented 1-mosdegree	A1md
46	Augmented 0-mosdegree	A0md
45	Augmented 45-mosdegree	A45md
44	Major 44-mosdegree	M44md
43	Major 43-mosdegree	M43md
42	Major 42-mosdegree	M42md
41	Major 41-mosdegree	M41md
40	Major 40-mosdegree	M40md
39	Major 39-mosdegree	M39md
38	Major 38-mosdegree	M38md
37	Major 37-mosdegree	M37md
36	Major 36-mosdegree	M36md
35	Major 35-mosdegree	M35md
34	Major 34-mosdegree	M34md
33	Major 33-mosdegree	M33md
32	Major 32-mosdegree	M32md
31	Major 31-mosdegree	M31md
30	Major 30-mosdegree	M30md
29	Major 29-mosdegree	M29md
28	Major 28-mosdegree	M28md
27	Major 27-mosdegree	M27md
26	Major 26-mosdegree	M26md
25	Major 25-mosdegree	M25md
24	Major 24-mosdegree	M24md
23	Major 23-mosdegree	M23md
22	Major 22-mosdegree	M22md
21	Major 21-mosdegree	M21md
20	Major 20-mosdegree	M20md
19	Major 19-mosdegree	M19md
18	Major 18-mosdegree	M18md
17	Major 17-mosdegree	M17md
16	Major 16-mosdegree	M16md
15	Major 15-mosdegree	M15md
14	Major 14-mosdegree	M14md
13	Major 13-mosdegree	M13md
12	Major 12-mosdegree	M12md
11	Major 11-mosdegree	M11md
10	Major 10-mosdegree	M10md
9	Major 9-mosdegree	M9md
8	Major 8-mosdegree	M8md
7	Major 7-mosdegree	M7md
6	Major 6-mosdegree	M6md
5	Major 5-mosdegree	M5md
4	Major 4-mosdegree	M4md
3	Major 3-mosdegree	M3md
2	Major 2-mosdegree	M2md
1	Perfect 1-mosdegree	P1md
0	Perfect 0-mosdegree Perfect 46-mosdegree	P0md P46md
−1	Perfect 45-mosdegree	P45md
−2	Minor 44-mosdegree	m44md
−3	Minor 43-mosdegree	m43md
−4	Minor 42-mosdegree	m42md
−5	Minor 41-mosdegree	m41md
−6	Minor 40-mosdegree	m40md
−7	Minor 39-mosdegree	m39md
−8	Minor 38-mosdegree	m38md
−9	Minor 37-mosdegree	m37md
−10	Minor 36-mosdegree	m36md
−11	Minor 35-mosdegree	m35md
−12	Minor 34-mosdegree	m34md
−13	Minor 33-mosdegree	m33md
−14	Minor 32-mosdegree	m32md
−15	Minor 31-mosdegree	m31md
−16	Minor 30-mosdegree	m30md
−17	Minor 29-mosdegree	m29md
−18	Minor 28-mosdegree	m28md
−19	Minor 27-mosdegree	m27md
−20	Minor 26-mosdegree	m26md
−21	Minor 25-mosdegree	m25md
−22	Minor 24-mosdegree	m24md
−23	Minor 23-mosdegree	m23md
−24	Minor 22-mosdegree	m22md
−25	Minor 21-mosdegree	m21md
−26	Minor 20-mosdegree	m20md
−27	Minor 19-mosdegree	m19md
−28	Minor 18-mosdegree	m18md
−29	Minor 17-mosdegree	m17md
−30	Minor 16-mosdegree	m16md
−31	Minor 15-mosdegree	m15md
−32	Minor 14-mosdegree	m14md
−33	Minor 13-mosdegree	m13md
−34	Minor 12-mosdegree	m12md
−35	Minor 11-mosdegree	m11md
−36	Minor 10-mosdegree	m10md
−37	Minor 9-mosdegree	m9md
−38	Minor 8-mosdegree	m8md
−39	Minor 7-mosdegree	m7md
−40	Minor 6-mosdegree	m6md
−41	Minor 5-mosdegree	m5md
−42	Minor 4-mosdegree	m4md
−43	Minor 3-mosdegree	m3md
−44	Minor 2-mosdegree	m2md
−45	Diminished 1-mosdegree	d1md
−46	Diminished 46-mosdegree	d46md
−47	Diminished 45-mosdegree	d45md
−48	Diminished 44-mosdegree	d44md
−49	Diminished 43-mosdegree	d43md
−50	Diminished 42-mosdegree	d42md
−51	Diminished 41-mosdegree	d41md
−52	Diminished 40-mosdegree	d40md
−53	Diminished 39-mosdegree	d39md
−54	Diminished 38-mosdegree	d38md
−55	Diminished 37-mosdegree	d37md
−56	Diminished 36-mosdegree	d36md
−57	Diminished 35-mosdegree	d35md
−58	Diminished 34-mosdegree	d34md
−59	Diminished 33-mosdegree	d33md
−60	Diminished 32-mosdegree	d32md
−61	Diminished 31-mosdegree	d31md
−62	Diminished 30-mosdegree	d30md
−63	Diminished 29-mosdegree	d29md
−64	Diminished 28-mosdegree	d28md
−65	Diminished 27-mosdegree	d27md
−66	Diminished 26-mosdegree	d26md
−67	Diminished 25-mosdegree	d25md
−68	Diminished 24-mosdegree	d24md
−69	Diminished 23-mosdegree	d23md
−70	Diminished 22-mosdegree	d22md
−71	Diminished 21-mosdegree	d21md
−72	Diminished 20-mosdegree	d20md
−73	Diminished 19-mosdegree	d19md
−74	Diminished 18-mosdegree	d18md
−75	Diminished 17-mosdegree	d17md
−76	Diminished 16-mosdegree	d16md
−77	Diminished 15-mosdegree	d15md
−78	Diminished 14-mosdegree	d14md
−79	Diminished 13-mosdegree	d13md
−80	Diminished 12-mosdegree	d12md
−81	Diminished 11-mosdegree	d11md
−82	Diminished 10-mosdegree	d10md
−83	Diminished 9-mosdegree	d9md
−84	Diminished 8-mosdegree	d8md
−85	Diminished 7-mosdegree	d7md
−86	Diminished 6-mosdegree	d6md
−87	Diminished 5-mosdegree	d5md
−88	Diminished 4-mosdegree	d4md
−89	Diminished 3-mosdegree	d3md
−90	Diminished 2-mosdegree	d2md

Modes of 45L 1s

UDP	Cyclic order	Step pattern
45|0	1	LLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLs
44|1	2	LLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLsL
43|2	3	LLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLsLL
42|3	4	LLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLsLLL
41|4	5	LLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLsLLLL
40|5	6	LLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLsLLLLL
39|6	7	LLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLsLLLLLL
38|7	8	LLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLsLLLLLLL
37|8	9	LLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLsLLLLLLLL
36|9	10	LLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLsLLLLLLLLL
35|10	11	LLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLsLLLLLLLLLL
34|11	12	LLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLsLLLLLLLLLLL
33|12	13	LLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLsLLLLLLLLLLLL
32|13	14	LLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLsLLLLLLLLLLLLL
31|14	15	LLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLsLLLLLLLLLLLLLL
30|15	16	LLLLLLLLLLLLLLLLLLLLLLLLLLLLLLsLLLLLLLLLLLLLLL
29|16	17	LLLLLLLLLLLLLLLLLLLLLLLLLLLLLsLLLLLLLLLLLLLLLL
28|17	18	LLLLLLLLLLLLLLLLLLLLLLLLLLLLsLLLLLLLLLLLLLLLLL
27|18	19	LLLLLLLLLLLLLLLLLLLLLLLLLLLsLLLLLLLLLLLLLLLLLL
26|19	20	LLLLLLLLLLLLLLLLLLLLLLLLLLsLLLLLLLLLLLLLLLLLLL
25|20	21	LLLLLLLLLLLLLLLLLLLLLLLLLsLLLLLLLLLLLLLLLLLLLL
24|21	22	LLLLLLLLLLLLLLLLLLLLLLLLsLLLLLLLLLLLLLLLLLLLLL
23|22	23	LLLLLLLLLLLLLLLLLLLLLLLsLLLLLLLLLLLLLLLLLLLLLL
22|23	24	LLLLLLLLLLLLLLLLLLLLLLsLLLLLLLLLLLLLLLLLLLLLLL
21|24	25	LLLLLLLLLLLLLLLLLLLLLsLLLLLLLLLLLLLLLLLLLLLLLL
20|25	26	LLLLLLLLLLLLLLLLLLLLsLLLLLLLLLLLLLLLLLLLLLLLLL
19|26	27	LLLLLLLLLLLLLLLLLLLsLLLLLLLLLLLLLLLLLLLLLLLLLL
18|27	28	LLLLLLLLLLLLLLLLLLsLLLLLLLLLLLLLLLLLLLLLLLLLLL
17|28	29	LLLLLLLLLLLLLLLLLsLLLLLLLLLLLLLLLLLLLLLLLLLLLL
16|29	30	LLLLLLLLLLLLLLLLsLLLLLLLLLLLLLLLLLLLLLLLLLLLLL
15|30	31	LLLLLLLLLLLLLLLsLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL
14|31	32	LLLLLLLLLLLLLLsLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL
13|32	33	LLLLLLLLLLLLLsLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL
12|33	34	LLLLLLLLLLLLsLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL
11|34	35	LLLLLLLLLLLsLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL
10|35	36	LLLLLLLLLLsLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL
9|36	37	LLLLLLLLLsLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL
8|37	38	LLLLLLLLsLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL
7|38	39	LLLLLLLsLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL
6|39	40	LLLLLLsLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL
5|40	41	LLLLLsLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL
4|41	42	LLLLsLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL
3|42	43	LLLsLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL
2|43	44	LLsLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL
1|44	45	LsLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL
0|45	46	sLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL

Scale tree

Scale tree and tuning spectrum of 45L 1s

Generator(edo)						Cents		Step ratio		Comments(always proper)
						Bright	Dark	L:s	Hardness
1\46						26.087	1173.913	1:1	1.000	Equalized 45L 1s
					6\275	26.182	1173.818	6:5	1.200
				5\229		26.201	1173.799	5:4	1.250
					9\412	26.214	1173.786	9:7	1.286
			4\183			26.230	1173.770	4:3	1.333	Supersoft 45L 1s
					11\503	26.243	1173.757	11:8	1.375
				7\320		26.250	1173.750	7:5	1.400
					10\457	26.258	1173.742	10:7	1.429
		3\137				26.277	1173.723	3:2	1.500	Soft 45L 1s
					11\502	26.295	1173.705	11:7	1.571
				8\365		26.301	1173.699	8:5	1.600
					13\593	26.307	1173.693	13:8	1.625
			5\228			26.316	1173.684	5:3	1.667	Semisoft 45L 1s
					12\547	26.325	1173.675	12:7	1.714
				7\319		26.332	1173.668	7:4	1.750
					9\410	26.341	1173.659	9:5	1.800
	2\91					26.374	1173.626	2:1	2.000	Basic 45L 1s
					9\409	26.406	1173.594	9:4	2.250
				7\318		26.415	1173.585	7:3	2.333
					12\545	26.422	1173.578	12:5	2.400
			5\227			26.432	1173.568	5:2	2.500	Semihard 45L 1s
					13\590	26.441	1173.559	13:5	2.600
				8\363		26.446	1173.554	8:3	2.667
					11\499	26.453	1173.547	11:4	2.750
		3\136				26.471	1173.529	3:1	3.000	Hard 45L 1s
					10\453	26.490	1173.510	10:3	3.333
				7\317		26.498	1173.502	7:2	3.500
					11\498	26.506	1173.494	11:3	3.667
			4\181			26.519	1173.481	4:1	4.000	Superhard 45L 1s
					9\407	26.536	1173.464	9:2	4.500
				5\226		26.549	1173.451	5:1	5.000
					6\271	26.568	1173.432	6:1	6.000
1\45						26.667	1173.333	1:0	→ ∞	Collapsed 45L 1s