4L 3s: Difference between revisions

Inthar (talk | contribs)
Inthar (talk | contribs)
Line 297: Line 297:
! [[15edo]]
! [[15edo]]
! [[26edo]]
! [[26edo]]
! JI intervals represented
! Some JI approximations
|-
|-
| generator (g)
| generator (g)
Line 303: Line 303:
| 4\15, 320.00
| 4\15, 320.00
| 7\26, 323.08
| 7\26, 323.08
| 77/64
| 77/64, 6/5
|-
|-
| L (octave - 3g)
| L (octave - 3g)
Line 316: Line 316:
| 2\26, 92.31
| 2\26, 92.31
| 128/121, (16/15)
| 128/121, (16/15)
|}
==== Intervals ====
Sortable table of major and minor intervals in hypohard smitonic tunings:
{| class="wikitable right-2 right-3 right-4 sortable "
|-
! class="unsortable"|Degree
! [[11edo]]
! [[15edo]]
! [[26edo]]
! class="unsortable"| Note name on J
! class="unsortable"| Approximate ratios
! #Gens up
|-
| unison
| 0\11, 0.0
| 0\15, 0.0
| 0\26, 0.0
| J
| 1/1
| 0
|-
| min. smi2nd
| 1\11, 109.1
| 1\15, 80.0
| 2\26, 92.3
| K@
|
| +4
|-
| maj. smi2nd
| 2\11, 218.2
| 3\15, 240.0
| 5\26, 230.8
| K
| 8/7
| -3
|-
| perf. smi3rd
| 3\11, 327.3
| 4\15, 320.0
| 7\26, 323.1
| L
| 77/64, 6/5
| +1
|-
| aug. smi3rd
| 4\11, 436.4
| 6\15, 480.0
| 10\26, 461.5
| L&
|
| -6
|-
| min. smi4th
| 4\11, 436.4
| 5\15, 400.0
| 9\26, 415.4
| M@
| 14/11
| +5
|-
| maj. smi4th
| 5\11, 545.5
| 7\15, 560.0
| 12\26, 553.9
| M
| 11/8
| -2
|-
| min. smi5th
| 6\11, 656.6
| 8\15, 640.0
| 14\26, 646.2
| N
| 16/11
| +2
|-
| maj. smi5th
| 7\11, 763.6
| 10\15, 800.0
| 17\26, 784.62
| N&
| 11/7
| -5
|-
| dim. smi6th
| 7\11, 763.6
| 9\15, 720.0
| 16\26, 738.5
| O@
|
| +6
|-
| perf. smi6th
| 8\11, 872.7
| 11\15, 880.0
| 19\26, 876.9
| O
| 5/3
| -1
|-
| min. smi7th
| 9\11, 981.8
| 12\15, 960.0
| 21\26, 969.2
| P
| 7/4
| +3
|-
| maj. smi7th
| 10\11, 1090.9
| 14\15, 1120.0
| 24\26, 1107.7
| P&
|
| -4
|}
|}