Garibaldi: Difference between revisions

Explain
+clean 2.3.5.7.19 subgroup garibaldi tuning spectrum without the noises from primes 11 and 13
Line 404: Line 404:
== Tunings ==
== Tunings ==
=== Tuning spectra ===
=== Tuning spectra ===
==== Garibaldi ====
{| class="wikitable center-all left-4"
|+ style=white-space:nowrap | Tuning spectrum for garibaldi
|-
! Edo<br>Generator
! [[Eigenmonzo|Eigenmonzo<br>(Unchanged-interval)]]
! Generator (¢)
! Comments
|-
| 7\12
|
| 700.0000
| Lower bound of 9-odd-limit, <br>2.3.5.7.19 subgroup 19- and 21-odd-limit diamond monotone
|-
|
| 19/16
| 700.8290
| 1/3 undevicesimal schisma
|-
|
| 19/12
| 701.1105
| 1/4 undevicesimal schisma
|-
| 38\65
|
| 701.5385
|
|-
|
| 15/8
| 701.676
| 1/7 schisma
|-
|
| 5/4
| 701.711
| 1/8 schisma
|-
|
| 25/24
| 701.7252
| 2/17 schisma
|-
|
| 5/3
| 701.738
| 5-odd-limit minimax, 1/9 schisma
|-
|
| 9/5
| 701.760
| 1/10 schisma
|-
|
| 81/80
| 701.7922
| 1/12 schisma
|-
| 31\53
|
| 701.8868
|
|-
|
| 3/2
| 701.9550
| Pythagorean tuning
|-
|
| 36/35
| 702.0321
|
|-
|
| 9/7
| 702.193
| 9-odd-limit minimax, 1/16 septimal schisma
|-
|
| 7/6
| 702.209
| 7-odd-limit minimax, 1/15 septimal schisma
|-
|
| 49/48
| 702.2174
| 2/29 septimal schisma
|-
|
| 7/4
| 702.227
| 1/14 septimal schisma
|-
|
| 19/10
| 702.2399
|
|-
|
| 21/16
| 702.2476
| 1/13 septimal schisma
|-
|
| 64/63
| 702.2720
| 1/12 septimal schisma
|-
|
| 19/15
| 702.3111
|
|-
| 24\41
|
| 702.4390
|
|-
|
| 19/14
| 702.6079
|
|-
|
| 21/19
| 702.6732
|
|-
|
| 15/14
| 702.778
|
|-
|
| 7/5
| 702.915
|
|-
|
| 21/20
| 703.1066
|
|-
| 17\29
|
| 703.4483
| Upper bound of 9-odd-limit, <br>2.3.5.7.19 subgroup 19- and 21-odd-limit diamond monotone
|-
|
| 13/11
| 703.597
|
|}
==== Cassandra ====
==== Cassandra ====
Gencom: [2 4/3; 225/224 275/273 325/324 385/384]
Gencom: [2 4/3; 225/224 275/273 325/324 385/384]
Line 409: Line 564:
Gencom mapping: {{mapping| 1 2 -1 -3 13 12 | 0 -1 8 14 -23 -20 }}
Gencom mapping: {{mapping| 1 2 -1 -3 13 12 | 0 -1 8 14 -23 -20 }}


{| class="wikitable center-all left-4"
{| class="wikitable mw-collapsible mw-collapsed center-all left-4"
|+ style=white-space:nowrap | Tuning spectrum for cassandra
|-
|-
! Edo<br>Generator
! Edo<br>Generator
Line 622: Line 778:
|-
|-
|  
|  
| 63/32
| 64/63
| 702.2720
| 702.2720
| 1/12 septimal schisma
| 1/12 septimal schisma
Line 677: Line 833:
Gencom mapping: {{mapping| 1 2 -1 -3 -4 -5 | 0 -1 8 14 18 21 }}
Gencom mapping: {{mapping| 1 2 -1 -3 -4 -5 | 0 -1 8 14 18 21 }}


{| class="wikitable center-all left-4"
{| class="wikitable mw-collapsible mw-collapsed center-all left-4"
|+ style=white-space:nowrap | Tuning spectrum for andromeda
|-
|-
! Edo<br>Generator
! Edo<br>Generator
Line 775: Line 932:
|-
|-
|  
|  
| 63/32
| 64/63
| 702.2720
| 702.2720
| 1/12 septimal schisma
| 1/12 septimal schisma
Line 915: Line 1,072:
Gencom mapping: {{mapping| 1 2 -1 -3 -9 -10 | 0 -1 8 14 30 33 }}
Gencom mapping: {{mapping| 1 2 -1 -3 -9 -10 | 0 -1 8 14 30 33 }}


{| class="wikitable center-all left-4"
{| class="wikitable mw-collapsible mw-collapsed center-all left-4"
|+ style=white-space:nowrap | Tuning spectrum for helenus
|-
|-
! Edo<br>Generator
! Edo<br>Generator
Line 1,098: Line 1,256:
|-
|-
|  
|  
| 63/32
| 64/63
| 702.2720
| 702.2720
| 1/12 septimal schisma
| 1/12 septimal schisma