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| Line 33: |
Line 33: |
| ==Tuning ranges== | | ==Tuning ranges== |
| ===Simple tunings=== | | ===Simple tunings=== |
| {| class="wikitable right-2 right-3 right-4 sortable " | | {{MOS tunings}} |
| |-
| |
| ! class="unsortable" |Degree
| |
| ! Size in [[11edo]] (basic)
| |
| !Size in [[14edo]] (hard)
| |
| !Size in [[19edo]] (soft)
| |
| ! class="unsortable" |Note name on J
| |
| !#Gens up
| |
| |-
| |
| |min. chk2nd
| |
| |1\11, 109.1
| |
| | 1\14, 85.7
| |
| |2\19, 126.3
| |
| |K
| |
| | +3
| |
| |-
| |
| |maj. chk2nd
| |
| |2\11, 218.2
| |
| |3\14, 257.1
| |
| |3\19, 189.5
| |
| |K&
| |
| | -5
| |
| |-
| |
| |min. chk3rd
| |
| |2\11, 218.2
| |
| |2\14, 171.4
| |
| |4\19, 252.6
| |
| |L@
| |
| | +6
| |
| |-
| |
| | maj. chk3rd
| |
| |3\11, 327.3
| |
| | 4\14, 342.9
| |
| | 5\19, 315.8
| |
| |L
| |
| | -2
| |
| |-
| |
| |perf. chk4th
| |
| |4\11, 436.4
| |
| |5\14, 428.6
| |
| | 7\19, 442.1
| |
| | M
| |
| | +1
| |
| |-
| |
| |aug. chk4th
| |
| |5\11, 545.5
| |
| |7\14, 600.0
| |
| |8\19, 505.3
| |
| |M&
| |
| | -7
| |
| |-
| |
| |min. chk5th
| |
| |5\11, 545.5
| |
| |6\14, 514.3
| |
| |9\19, 568.4
| |
| |N
| |
| | +4
| |
| |-
| |
| |maj. chk5th
| |
| |6\11, 656.6
| |
| |8\14, 685.7
| |
| |10\19, 631.6
| |
| |N&
| |
| | -4
| |
| |-
| |
| |dim. chk6th
| |
| |6\11, 656.6
| |
| | 7\14, 600.0
| |
| |11\19, 694.7
| |
| |O@
| |
| | +7
| |
| |-
| |
| |perf. chk6th
| |
| |7\11, 763.6
| |
| |8\14, 771.4
| |
| |12\19, 757.9
| |
| | O
| |
| | -1
| |
| |-
| |
| |min. chk7th
| |
| |8\11, 872.7
| |
| |10\14, 857.1
| |
| |14\19, 884.2
| |
| | P
| |
| | +2
| |
| |-
| |
| |maj. chk7th
| |
| | 9\11, 981.8
| |
| |12\14, 1028.6
| |
| |15\19, 947.4
| |
| | P&
| |
| | -6
| |
| |-
| |
| |min. chk8th
| |
| |9\11, 981.8
| |
| |11\14, 942.9
| |
| |16\19, 1010.5
| |
| |Q@
| |
| | +5
| |
| |-
| |
| |maj. chk8th
| |
| |10\11, 1090.9
| |
| |13\14, 1114.3
| |
| |17\19, 1073.7
| |
| | Q
| |
| | -3
| |
| |}
| |
|
| |
|
| ===Parasoft=== | | ===Parasoft tunings=== |
| Parasoft checkertonic is the narrow region between 7\19 (442.1¢) and 10\27 (444.4¢). | | Parasoft tunings (step ratios 4:3 to 3:2) are associated with [[sensi]] tempermament. |
| | | {{MOS tunings|Step Ratios=Parasoft}} |
| Sortable table of major and minor intervals in parasoft checkertonic tunings:
| |
| | |
| {| class="wikitable right-2 right-3 right-4 sortable "
| |
| |-
| |
| ! class="unsortable" |Degree
| |
| !Size in [[19edo]] (soft)
| |
| !Size in [[27edo]] (supersoft)
| |
| !Size in [[46edo]]
| |
| ! class="unsortable" | Note name on J
| |
| ! class="unsortable" |Approximate ratios
| |
| !#Gens up
| |
| |-
| |
| |unison
| |
| |0\19, 0.00
| |
| |0\27, 0.00
| |
| |0\46, 0.00
| |
| |J
| |
| |1/1
| |
| |0
| |
| |-
| |
| |min. chk2nd
| |
| |2\19, 126.3
| |
| |3\27, 133.3
| |
| |5\46, 130.4
| |
| |K
| |
| |14/13
| |
| | +3
| |
| |-
| |
| | maj. chk2nd
| |
| |3\19, 189.5
| |
| |4\27, 177.8
| |
| | 7\46, 182.6
| |
| |K&
| |
| |10/9
| |
| | -5
| |
| |-
| |
| |min. chk3rd
| |
| |4\19, 252.6
| |
| |6\27, 266.7
| |
| | 10\46, 260.9
| |
| |L@
| |
| |7/6
| |
| | +6
| |
| |-
| |
| |maj. chk3rd
| |
| |5\19, 315.8
| |
| |7\27, 311.1
| |
| | 12\46, 313.0
| |
| |L
| |
| |6/5
| |
| | -2
| |
| |-
| |
| |perf. chk4th
| |
| |7\19, 442.1
| |
| |10\27, 444.4
| |
| |17\46, 443.5
| |
| | M
| |
| |9/7, 13/10
| |
| | +1
| |
| |-
| |
| |aug. chk4th
| |
| |8\19, 505.3
| |
| |11\27, 488.9
| |
| |19\46, 495.7
| |
| |M&
| |
| |4/3
| |
| | -7
| |
| |-
| |
| |min. chk5th
| |
| |9\19, 568.4
| |
| |13\27, 577.8
| |
| | 22\46, 573.9
| |
| |N
| |
| |7/5, 18/13
| |
| | +4
| |
| |-
| |
| |maj. chk5th
| |
| |10\19, 631.6
| |
| | 14\27, 622.2
| |
| |24\46, 626.1
| |
| |N&
| |
| |10/7, 13/9
| |
| | -4
| |
| |-
| |
| |dim. chk6th
| |
| |11\19, 694.7
| |
| |16\27, 711.1
| |
| |27\46, 704.3
| |
| | O@
| |
| |3/2
| |
| | +7
| |
| |-
| |
| |perf. chk6th
| |
| |12\19, 757.9
| |
| | 17\27, 755.6
| |
| |20\46, 756.5
| |
| |O
| |
| | 14/9, 20/13
| |
| | -1
| |
| |-
| |
| |min. chk7th
| |
| |14\19, 884.2
| |
| | 20\27, 888.9
| |
| |34\46, 887.0
| |
| |P
| |
| |5/3
| |
| | +2
| |
| |-
| |
| |maj. chk7th
| |
| |15\19, 947.4
| |
| |21\27, 933.3
| |
| |36\46, 939.1
| |
| |P&
| |
| |12/7
| |
| | -6
| |
| |-
| |
| |min. chk8th
| |
| |16\19, 1010.5
| |
| |23\27, 1022.2
| |
| |39\46, 1017.4
| |
| |Q@
| |
| |9/5
| |
| | +5
| |
| |-
| |
| |maj. chk8th
| |
| | 17\19, 1073.7
| |
| |24\27, 1066.7
| |
| |41\46, 1069.6
| |
| |Q
| |
| |13/7
| |
| | -3
| |
| |}
| |
| | |
| Tunings in this region have a regular temperament interpretation called [[sensi]].
| |
|
| |
|
| ==Modes== | | ==Modes== |