Lumatone mapping for 89edf

From Xenharmonic Wiki
Jump to navigation Jump to search

Potentially many ways exist to map 89edf to the Lumatone; however, since this is a non-octave tuning, the Standard Lumatone mapping for Pythagorean is not one of them.

Unnamed temperament 8L 3s (3/2-equivalent) mapping

Bryan Deister has demonstrated a mapping of 89edf using an 8L 3s (3/2-equivalent) scale having a 10:3 step ratio, in 89ed(3/2) groove (2026). The rightward generator is a near just pentacircle minor second ~22/21, but also functions as as a mildly sharp greater vicesimotertial semitone ~23/22 (the pittsburghisma 484/483 is tempered out). This mapping is maximally efficient, with a range of just over three octaves (which slope upwards very gently), with no missed notes and no repeated notes.

5
15
8
18
28
38
48
1
11
21
31
41
51
61
71
4
14
24
34
44
54
64
74
84
5
15
86
7
17
27
37
47
57
67
77
87
8
18
28
38
0
10
20
30
40
50
60
70
80
1
11
21
31
41
51
61
71
82
3
13
23
33
43
53
63
73
83
4
14
24
34
44
54
64
74
84
5
85
6
16
26
36
46
56
66
76
86
7
17
27
37
47
57
67
77
87
8
18
28
38
78
88
9
19
29
39
49
59
69
79
0
10
20
30
40
50
60
70
80
1
11
21
31
41
51
61
2
12
22
32
42
52
62
72
82
3
13
23
33
43
53
63
73
83
4
14
24
34
44
54
64
74
84
5
25
35
45
55
65
75
85
6
16
26
36
46
56
66
76
86
7
17
27
37
47
57
67
77
87
8
58
68
78
88
9
19
29
39
49
59
69
79
0
10
20
30
40
50
60
70
80
1
11
81
2
12
22
32
42
52
62
72
82
3
13
23
33
43
53
63
73
83
4
25
35
45
55
65
75
85
6
16
26
36
46
56
66
76
86
7
48
58
68
78
88
9
19
29
39
49
59
69
79
0
81
2
12
22
32
42
52
62
72
82
3
15
25
35
45
55
65
75
85
48
58
68
78
88
71
81
Todo: complete page

Need a Navbox Lumatone that doesn't try to insert Lumatone mapping for non-octave tuning pages into the Lumatone mapping for EDO pages.

Retrieved from "https://en.xen.wiki/index.php?title=Lumatone_mapping_for_89edf&oldid=240648"