Oneirotonic: Difference between revisions

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== Rank-2 temperaments ==
=== A-Team (13&18, 4:5:9:21) ===
Sortable table of intervals in the Dylathian mode and their A-Team interpretations:
{| class="wikitable right-2 right-3 right-4 sortable"
|-
! Degree
! Size in 13edo
! Size in 18edo
! Size in 31edo
! Note name on L
! class="unsortable"| Approximate ratios<ref>The harmonics over 1/1 are in bold. The ratio interpretations that are not valid for 18edo are italicized.</ref>
! #Gens up
|-
| 1
| 0\13, 0.00
| 0\18, 0.00
| 0\31, 0.00
| L
| '''1/1'''
| 0
|-
| 2
| 2\13, 184.62
| 3\18, 200.00
| 5\31, 193.55
| M
| '''9/8''', 10/9
| +3
|-
| 3
| 4\13, 369.23
| 6\18, 400.00
| 10\31, 387.10
| N
| '''5/4'''
| +6
|-
| 4
| 5\13, 461.54
| 7\18, 466.67
| 12\31, 464.52
| O
| '''21/16''', ''13/10''
| +1
|-
| 5
| 7\13, 646.15
| 10\18, 666.66
| 17\31, 658.06
| P
| ''13/9'', ''16/11''
| +4
|-
| 6
| 9\13, 830.77
| 13\18, 866.66
| 22\31, 851.61
| Q
| '''''13/8''''', ''18/11''
| +7
|-
| 7
| 10\13, 923.08
| 14\18, 933.33
| 24\31, 929.03
| J
| 12/7
| +2
|-
| 8
| 12\13, 1107.69
| 17\18, 1133.33
| 29\31, 1122.58
| K
|
| +5
|}
<references/>
=== Petrtri (13&21, 4:5:9:11:13:17) ===
==== Intervals ====
Sortable table of intervals in the Dylathian mode and their Petrtri interpretations:
{| class="wikitable right-2 right-3 right-4 right-5 sortable"
|-
! Degree
! Size in 13edo
! Size in 21edo
! Size in 34edo
! Size in POTE tuning
! Note name on L
! class="unsortable"| Approximate ratios
! #Gens up
|-
| 1
| 0\13, 0.00
| 0\21, 0.00
| 0\34, 0.00
| 0.00
| L
| 1/1
| 0
|-
| 2
| 2\13, 184.62
| 3\21, 171.43
| 5\34, 176.47
| 177.45
| M
| 10/9, 11/10
| +3
|-
| 3
| 4\13, 369.23
| 6\21, 342.86
| 10\34, 352.94
| 354.90
| N
| 11/9, 16/13
| +6
|-
| 4
| 5\13, 461.54
| 8\21, 457.14
| 13\34, 458.82
| 459.15
| O
| 13/10, 17/13, 22/17
| +1
|-
| 5
| 7\13, 646.15
| 11\21, 628.57
| 18\34, 635.294
| 636.60
| P
| 13/9, 16/11
| +4
|-
| 6
| 9\13, 830.77
| 14\21, 800.00
| 23\34, 811.77
| 814.05
| Q
| 8/5
| +7
|-
| 7
| 10\13, 923.08
| 16\21, 914.29
| 26\34, 917.65
| 918.30
| J
| 17/10
| +2
|-
| 8
| 12\13, 1107.69
| 19\21, 1085.71
| 31\34, 1094.12
| 1095.75
| K
| 17/9, 32/17
| +5
|}
== Samples ==
== Samples ==