This page is for hotcrystal0's temperament research.
Rank-2
Rank-3
Unnamed 159 & 166 & 171
Subgroup: 2.3.5.7
Comma list: 10763703445887/10737418240000
Mapping: [⟨1 0 0], ⟨1 1 0], ⟨3 1 -3], ⟨8 -6 -4]]
Optimal tunings:
- WE: ~2 = 1200.057 ¢, ~3/2 = 701.806 ¢, ~20480/15309 = 505.209 ¢
- error map: ⟨+0.057 -0.093 +0.036 -0.040]
- CWE: ~2 = 1200.000 ¢, ~3/2 = 701.777 ¢, ~20480/15309 = 505.167 ¢
- error map: ⟨0.000 -0.178 -0.039 -0.155]
Optimal ET sequence: [to be finished]
Badness (Sintel): [to be finished]
Commas
| Factorization
|
2-79 × 329 × 713 × 11-1
|
| Monzo
|
[-79 29 0 13 -1⟩
|
| Size in cents
|
0.1138668¢
|
| Name
|
Unnamed difference between 13 64/63 and 27/22
|
| FJS name
|
[math]\displaystyle{ \text{M3}^{7,7,7,7,7,7,7,7,7,7,7,7,7}_{11} }[/math]
|
| Special properties
|
reduced
|
| Tenney norm (log2 nd)
|
164.919
|
| Weil norm (log2 max(n, d))
|
164.919
|
| Wilson norm (sopfr(nd))
|
347
|
| Comma size
|
unnoticeable
|
|
|
| Open this interval in xen-calc
|
| Ratio
|
55788550416/55783203125
|
| Factorization
|
24 × 320 × 5-9 × 13-4
|
| Monzo
|
[4 20 -9 0 0 -4⟩
|
| Size in cents
|
0.1659454¢
|
| Name
|
Unnamed difference between 4 325/324 and 81/80
|
| FJS name
|
[math]\displaystyle{ \text{P1}_{5,5,5,5,5,5,5,5,5,13,13,13,13} }[/math]
|
| Special properties
|
reduced
|
| Tenney norm (log2 nd)
|
71.3984
|
| Weil norm (log2 max(n, d))
|
71.3985
|
| Wilson norm (sopfr(nd))
|
165
|
| Comma size
|
unnoticeable
|
|
|
| Open this interval in xen-calc
|
| Factorization
|
2-55 × 3-26 × 1326
|
| Monzo
|
[-55 -26 0 0 0 26⟩
|
| Size in cents
|
2.889184¢
|
| Name
|
Unnamed difference between 26 13/12 and 3 octaves
|
| FJS name
|
[math]\displaystyle{ \text{18d6}^{13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13} }[/math]
|
| Special properties
|
reduced
|
| Tenney norm (log2 nd)
|
192.42
|
| Weil norm (log2 max(n, d))
|
192.423
|
| Wilson norm (sopfr(nd))
|
526
|
| Comma size
|
unnoticeable
|
|
|
| Open this interval in xen-calc
|
