Cotoneum: Difference between revisions

Overthink (talk | contribs)
fix this
Overthink (talk | contribs)
→Tuning spectrum: Add edo tunings; monotone tunings; remove redundant info
Line 202: Line 202:


== Tuning spectrum ==
== Tuning spectrum ==
Gencom: [2 4/3; 343/342 364/363 441/440 595/594 1216/1215 1729/1728]
{| class="wikitable center-all left-4"
 
Gencom mapping: [{{val| 1 2 -18 -3 13 29 41 -14 }}, {{val| 0 -1 49 14 -23 -61 -89 44 }}]
 
{| class="wikitable center-1 center-2"
|-
|-
! Edo tuning<br>(n\EDO)
! [[Eigenmonzo|Eigenmonzo<br>(Unchanged-Interval)]]
! [[Eigenmonzo|Eigenmonzo<br>(Unchanged-Interval)]]
! Generator<br>(¢)
! Generator<br>(¢)
! Comments
! Comments
|-
|-
| 4/3
| '''[[53edo|31\53]]'''
|
| '''701.8868'''
| '''Lower bound of 9-odd-limit [[diamond monotone]]'''<br>53cffgggh val
|-
|
| [[4/3]]
| 701.9550
| 701.9550
|  
|  
|-
|-
| 9/7
| '''[[94edo|55\94]]'''
|
| '''702.1277'''
| '''Lower bound of 11-odd-limit diamond monotone'''<br>94cfggh val
|-
|
| [[9/7]]
| 702.1928
| 702.1928
|  
|  
|-
|-
| 7/6
|  
| [[7/6]]
| 702.2086
| 702.2086
|  
|  
|-
|-
| 8/7
| '''[[135edo|79\135]]'''
|
| '''702.2222'''
| '''Lower bound of 13- and 15-odd-limit diamnod monotone''' <br>135cfgh val
|-
|
| [[8/7]]
| 702.2267
| 702.2267
|  
|  
|-
|-
| 14/11
|  
| [[14/11]]
| 702.2295
| 702.2295
|  
|  
|-
|-
| 11/8
|  
| [[11/8]]
| 702.2312
| 702.2312
|  
|  
|-
|-
| 22/21
|  
| [[22/21]]
| 702.2371
| 702.2371
|  
|  
|-
|-
| 20/19
|  
| [[20/19]]
| 702.2399
| 702.2399
|  
|  
|-
|-
| 12/11
|  
| [[12/11]]
| 702.2438
| 702.2438
|  
|  
|-
|-
| 21/16
|  
| [[21/16]]
| 702.2476
| 702.2476
|  
|  
|-
|-
| 11/9
|  
| [[11/9]]
| 702.2575
| 702.2575
|  
|  
|-
|-
| 14/13
| '''[[176edo|103\176]]'''
|
| '''702.2727'''
| '''Lower bound of 17- through 21-odd-limit diamond monotone'''
|-
|
| [[14/13]]
| 702.2894
| 702.2894
|  
|  
|-
|-
| 11/10
|  
| [[11/10]]
| 702.2917
| 702.2917
| 11 and 13-odd-limit minimax
| 11- and 13-odd-limit minimax
|-
|-
| 17/14
|  
| [[17/14]]
| 702.2925
| 702.2925
|  
|  
|-
|-
| 26/21
|  
| [[26/21]]
| 702.2939
| 702.2939
|  
|  
|-
|-
| 22/19
|  
| [[22/19]]
| 702.2956
| 702.2956
|  
|  
|-
|-
| 21/17
|  
| [[21/17]]
| 702.2958
| 702.2958
|  
|  
|-
|-
| 15/11
|  
| [[15/11]]
| 702.2965
| 702.2965
| 15, 17, 19, and 21-odd-limit minimax  
| 15- through 21-odd-limit minimax
|-
|-
| 17/13
|  
| [[17/13]]
| 702.3010
| 702.3010
|  
|  
|-
|-
| 17/16
|  
| [[17/16]]
| 702.3029
| 702.3029
|  
|  
|-
|-
| 16/13
|  
| [[16/13]]
| 702.3037
| 702.3037
|  
|  
|-
|-
| 10/9
| [[217edo|127\217]]
|
| 702.3041
|
|-
|
| [[10/9]]
| 702.3058
| 702.3058
| 9-odd-limit minimax
| 9-odd-limit minimax
|-
|-
| 24/17
|  
| [[24/17]]
| 702.3068
| 702.3068
|  
|  
|-
|-
| 20/17
|  
| [[20/17]]
| 702.3090
| 702.3090
|  
|  
|-
|-
| 13/12
|  
| [[13/12]]
| 702.3095
| 702.3095
|  
|  
|-
|-
| 18/17
|  
| [[18/17]]
| 702.3109
| 702.3109
|  
|  
|-
|-
| 13/10
|  
| [[13/10]]
| 702.3110
| 702.3110
|  
|  
|-
|-
| 19/15
|  
| [[19/15]]
| 702.3111
| 702.3111
|  
|  
|-
|-
| 17/15
|  
| [[17/15]]
| 702.3116
| 702.3116
|  
|  
|-
|-
| 19/17
|  
| [[19/17]]
| 702.3116
| 702.3116
|  
|  
|-
|-
| 6/5
|  
| [[6/5]]
| 702.3128
| 702.3128
| 5 and 7-odd-limit minimax
| 5- and 7-odd-limit minimax
|-
|-
| 19/18
|  
| [[19/18]]
| 702.3130
| 702.3130
|  
|  
|-
|-
| 15/13
|  
| [[15/13]]
| 702.3143
| 702.3143
|  
|  
|-
|-
| 26/19
|  
| [[26/19]]
| 702.3144
| 702.3144
|  
|  
|-
|-
| 18/13
|  
| [[18/13]]
| 702.3156
| 702.3156
|  
|  
|-
|-
| 5/4
|  
| [[5/4]]
| 702.3201
| 702.3201
|  
|  
|-
|-
| 24/19
|  
| [[24/19]]
| 702.3209
| 702.3209
|  
|  
|-
|-
| 16/15
| [[258edo|151\258]]
|
| 702.3256
|
|-
|
| [[16/15]]
| 702.3277
| 702.3277
|  
|  
|-
|-
| 22/17
|  
| [[22/17]]
| 702.3278
| 702.3278
|  
|  
|-
|-
| 19/16
|  
| [[19/16]]
| 702.3292
| 702.3292
|  
|  
|-
|-
| 21/20
|  
| [[21/20]]
| 702.3463
| 702.3463
|  
|  
|-
|-
| 13/11
|  
| [[13/11]]
| 702.3476
| 702.3476
|  
|  
|-
|-
| 7/5
|  
| [[7/5]]
| 702.3575
| 702.3575
|  
|  
|-
|-
| 21/19
|  
| [[21/19]]
| 702.3635
| 702.3635
|  
|  
|-
|-
| 15/14
|  
| [[15/14]]
| 702.3693
| 702.3693
|  
|  
|-
|-
| 19/14
|  
| [[19/14]]
| 702.3771
| 702.3771
|  
|  
|-
| '''[[41edo|24\41]]'''
|
| '''702.4390'''
| '''Upper bound of 11- through 21-odd-limit diamond monotone'''
|}
|}