User:MisterShafXen/Harmonics in all ETs: Difference between revisions

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===10ed3/2===
===10ed3/2===
{{Harmonics in equal|steps=10|num=3|denom=2}}{{Harmonics in equal|num=3|denom=2|start=12|steps=10}}
{{Harmonics in equal|steps=10|num=3|denom=2|columns=75}}
 
== EDOs ==
== EDOs ==


=== 10edo ===
=== 10edo ===
{{Harmonics in equal|steps=10|intervals=odd|columns=10}}{{Harmonics in equal|steps=10|intervals=odd|start=11|columns=10}}{{Harmonics in equal|steps=10|intervals=odd|columns=10|start=21}}
{{Harmonics in equal|steps=10|intervals=odd|columns=38}}
{{Harmonics in equal|steps=10|columns=8|start=31|intervals=odd}}
 
== ED5/2s ==
{{Harmonics in equal|num=5|denom=2|steps=10}}{{Harmonics in equal|num=5|denom=2|start=12|steps=10}}{{Harmonics in equal|num=5|denom=2|start=23|steps=10}}{{Harmonics in equal|num=5|denom=2|steps=10|start=34}}{{Harmonics in equal|num=5|denom=2|steps=10|start=45}}
 
== ED10s ==
== ED10s ==
=== 22ed10 ===
=== 22ed10 ===
{{Harmonics in equal|num=10|steps=22}}{{Harmonics in equal|num=10|steps=22|start=12}}{{Harmonics in equal|num=10|steps=22|start=23}}
{{Harmonics in equal|num=10|steps=22|columns=75}}

Revision as of 14:38, 17 May 2026

ED3/2s

10ed3/2

Approximation of harmonics in 10edf
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76
Error Absolute (¢) -6.7 -6.7 -13.4 +21.5 -13.4 +0.6 -20.0 -13.4 +14.8 -9.8 -20.0 -18.2 -6.1 +14.8 -26.7 +8.7 -20.0 +26.8 +8.2 -6.1 -16.5 -23.2 -26.7 -27.2 -24.9 -20.0 -12.8 -3.4 +8.2 +21.6 -33.4 -16.5 +2.1 +22.1 -26.7 -3.9 +20.1 -24.9 +1.5 +28.9 -12.8 +16.7 -23.1 +8.2 -29.9 +3.1 -33.4 +1.1 -33.9 +2.1 -31.6 +5.7 -26.7 +11.7 -19.5 +20.1 -10.0 +30.6 +1.5 -27.1 +14.9 -12.8 +30.1 +3.3 -23.1 +21.0 -4.6 -29.9 +15.4 -9.2 -33.4 +12.9 -10.6 -33.9 +13.4
Relative (%) -9.5 -9.5 -19.0 +30.6 -19.0 +0.8 -28.5 -19.0 +21.1 -13.9 -28.5 -25.9 -8.7 +21.1 -38.0 +12.4 -28.5 +38.1 +11.6 -8.7 -23.4 -33.1 -38.0 -38.7 -35.5 -28.5 -18.2 -4.8 +11.6 +30.7 -47.6 -23.4 +2.9 +31.4 -38.0 -5.6 +28.6 -35.5 +2.1 +41.2 -18.2 +23.7 -33.0 +11.6 -42.6 +4.4 -47.6 +1.6 -48.2 +2.9 -45.0 +8.1 -38.0 +16.7 -27.7 +28.6 -14.3 +43.6 +2.1 -38.7 +21.2 -18.2 +42.9 +4.7 -33.0 +30.0 -6.6 -42.6 +21.9 -13.1 -47.6 +18.4 -15.1 -48.2 +19.1
Steps
(reduced)
17
(7)
27
(7)
34
(4)
40
(0)
44
(4)
48
(8)
51
(1)
54
(4)
57
(7)
59
(9)
61
(1)
63
(3)
65
(5)
67
(7)
68
(8)
70
(0)
71
(1)
73
(3)
74
(4)
75
(5)
76
(6)
77
(7)
78
(8)
79
(9)
80
(0)
81
(1)
82
(2)
83
(3)
84
(4)
85
(5)
85
(5)
86
(6)
87
(7)
88
(8)
88
(8)
89
(9)
90
(0)
90
(0)
91
(1)
92
(2)
92
(2)
93
(3)
93
(3)
94
(4)
94
(4)
95
(5)
95
(5)
96
(6)
96
(6)
97
(7)
97
(7)
98
(8)
98
(8)
99
(9)
99
(9)
100
(0)
100
(0)
101
(1)
101
(1)
101
(1)
102
(2)
102
(2)
103
(3)
103
(3)
103
(3)
104
(4)
104
(4)
104
(4)
105
(5)
105
(5)
105
(5)
106
(6)
106
(6)
106
(6)
107
(7)

EDOs

10edo

Approximation of odd harmonics in 10edo
Harmonic 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47 49 51 53 55 57 59 61 63 65 67 69 71 73 75 77
Error Absolute (¢) +18.0 -26.3 -8.8 +36.1 +48.7 -0.5 -8.3 +15.0 -57.5 +9.2 -28.3 -52.6 +54.1 +50.4 +55.0 -53.3 -35.1 -11.3 +17.5 +50.9 -31.5 +9.8 +54.5 -17.7 +33.1 -33.5 +22.4 -39.5 +20.8 -36.9 +27.3 -26.8 +40.7 -10.2 -59.7 +12.2 -34.6 +39.9
Relative (%) +15.0 -21.9 -7.4 +30.1 +40.6 -0.4 -6.9 +12.5 -47.9 +7.7 -23.6 -43.9 +45.1 +42.0 +45.8 -44.4 -29.3 -9.5 +14.6 +42.4 -26.3 +8.1 +45.4 -14.7 +27.6 -27.9 +18.6 -32.9 +17.4 -30.7 +22.7 -22.4 +33.9 -8.5 -49.7 +10.2 -28.8 +33.2
Steps
(reduced)
16
(6)
23
(3)
28
(8)
32
(2)
35
(5)
37
(7)
39
(9)
41
(1)
42
(2)
44
(4)
45
(5)
46
(6)
48
(8)
49
(9)
50
(0)
50
(0)
51
(1)
52
(2)
53
(3)
54
(4)
54
(4)
55
(5)
56
(6)
56
(6)
57
(7)
57
(7)
58
(8)
58
(8)
59
(9)
59
(9)
60
(0)
60
(0)
61
(1)
61
(1)
61
(1)
62
(2)
62
(2)
63
(3)

ED10s

22ed10

Approximation of harmonics in 22ed10
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76
Error Absolute (¢) +68.4 -90.0 -44.5 -68.4 -21.6 +73.9 +23.9 +1.2 +0.0 +16.2 +46.8 +89.4 -38.9 +22.8 -88.9 -12.7 +69.6 -24.0 +68.4 -16.1 +84.6 +7.6 -66.1 +44.5 -23.4 -88.8 +29.4 -31.3 -90.0 +34.4 -20.5 -73.8 +55.7 +5.5 -43.2 +90.5 +44.3 -0.6 -44.5 -87.2 +52.3 +11.5 -28.3 -67.2 +76.0 +38.7 +2.3 -33.4 -68.4 +78.5 +44.9 +11.9 -20.4 -52.2 -83.4 +67.2 +37.1 +7.5 -21.6 -50.2 -78.4 +75.1 +47.8 +21.0 -5.4 -31.5 -57.1 -82.4 +73.9 +49.3 +25.1 +1.2 -22.3 -45.5 -68.5
Relative (%) +37.7 -49.7 -24.5 -37.7 -11.9 +40.8 +13.2 +0.7 +0.0 +8.9 +25.8 +49.3 -21.5 +12.6 -49.1 -7.0 +38.4 -13.3 +37.7 -8.9 +46.7 +4.2 -36.5 +24.5 -12.9 -49.0 +16.3 -17.3 -49.7 +19.0 -11.3 -40.7 +30.7 +3.1 -23.9 +50.0 +24.5 -0.3 -24.5 -48.1 +28.9 +6.4 -15.6 -37.1 +41.9 +21.4 +1.3 -18.4 -37.7 +43.3 +24.8 +6.6 -11.3 -28.8 -46.0 +37.1 +20.5 +4.1 -11.9 -27.7 -43.3 +41.5 +26.4 +11.6 -3.0 -17.4 -31.5 -45.5 +40.8 +27.2 +13.9 +0.7 -12.3 -25.1 -37.8
Steps
(reduced)
7
(7)
10
(10)
13
(13)
15
(15)
17
(17)
19
(19)
20
(20)
21
(21)
22
(0)
23
(1)
24
(2)
25
(3)
25
(3)
26
(4)
26
(4)
27
(5)
28
(6)
28
(6)
29
(7)
29
(7)
30
(8)
30
(8)
30
(8)
31
(9)
31
(9)
31
(9)
32
(10)
32
(10)
32
(10)
33
(11)
33
(11)
33
(11)
34
(12)
34
(12)
34
(12)
35
(13)
35
(13)
35
(13)
35
(13)
35
(13)
36
(14)
36
(14)
36
(14)
36
(14)
37
(15)
37
(15)
37
(15)
37
(15)
37
(15)
38
(16)
38
(16)
38
(16)
38
(16)
38
(16)
38
(16)
39
(17)
39
(17)
39
(17)
39
(17)
39
(17)
39
(17)
40
(18)
40
(18)
40
(18)
40
(18)
40
(18)
40
(18)
40
(18)
41
(19)
41
(19)
41
(19)
41
(19)
41
(19)
41
(19)
41
(19)