Nicetone: Difference between revisions

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@@ Line 28: / Line 28: @@
 | Nicetone || 3L2m2s || 7\33, 4\33, 2\33 || ├───┼──────┼─┼──────┼───┼─┼──────┤
 |-
-| antipentic || 3L2s || 7\33, 6\33 || ├─────┼──────╫──────┼─────╫──────┤
+| Antipentic || 3L2s || 7\33, 6\33 || ├─────┼──────╫──────┼─────╫──────┤
+|}
+== Intervals ==
+The following is a table of nicetone intervals and their abstract sizes in terms of L, m and s. Given concrete sizes of L, m and s in EDO steps or cents, you can compute the concrete size of any interval in nicetone using the following expressions.
+{| class="wikitable right-2 right-3 right-4 right-5 right-6 right-7"
+|+ Interval sizes in nicetone
+|-
+!colspan=2|Interval class
+! Sizes
+! 5-limit JI
+! [[15edo]] <br>(L:m:s = 3:2:1)
+! [[41edo]] <br>(L:m:s = 7:6:4)
+|- bgcolor="#eaeaff"
+!rowspan=3|Second <br>[[TAMNAMS|1-step]]
+!| <small>small</small>
+| s
+| 16/15, 111.73¢
+| 1\15, 80.00¢
+| 4\41, 117.07¢
+|- bgcolor="#eaeaff"
+!|<small>medium</small>
+| m
+| 10/9, 182.40¢
+| 2\15, 160.00¢
+| 6\41, 175.61¢
+|- bgcolor="#eaeaff"
+!|<small>large</small>
+| L
+| 9/8, 203.91¢
+| 3\15, 240.00¢
+| 7\41, 204.88¢
+|-
+!rowspan=3|Third <br>[[TAMNAMS|2-step]]
+!|<small>small</small>
+| m + s
+| 32/27, 294.13¢
+| 3\15, 240.00¢
+| 10\41, 292.68¢
+|-
+!|<small>medium</small>
+| L + s
+| 6/5, 315.64¢
+| 4\15, 320.00¢
+| 11\41, 321.95¢
+|-
+!|<small>large</small>
+| L + m
+| 5/4, 386.31¢
+| 5\15, 400.00¢
+| 13\41, 380.49¢
+|- bgcolor="#eaeaff"
+!rowspan=3|Fourth <br>[[TAMNAMS|3-step]]
+!|<small>small</small>
+| L + m + s
+| 4/3, 498.04¢
+| 6\15, 480.00¢
+| 17\41, 497.56¢
+|- bgcolor="#eaeaff"
+!|<small>medium</small>
+| 2L + s
+| 27/20, 519.55¢
+| 7\15, 560.00¢
+| 18\41, 526.83¢
+|- bgcolor="#eaeaff"
+!|<small>large</small>
+| 2L + m
+| 45/32, 590.22¢
+| 8\15, 640.00¢
+| 20\41, 585.37¢
+|-
+!rowspan=3|Fifth <br>[[TAMNAMS|4-step]]
+!|<small>small</small>
+| L + m + 2s
+| 64/45, 609.78¢
+| 7\15, 560.00¢
+| 21\41, 614.63¢
+|-
+!|<small>medium</small>
+| L + 2m + s
+| 40/27, 680.45¢
+| 8\15, 640.00¢
+| 23\41, 673.17¢
+|-
+!|<small>large</small>
+| 2L + m + s
+| 3/2, 701.96¢
+| 9\15, 720.00¢
+| 24\41, 702.44¢
+|- bgcolor="#eaeaff"
+!rowspan=3|Sixth <br>[[TAMNAMS|5-step]]
+!|<small>small</small>
+| 2L + m + 2s
+| 8/5, 813.69¢
+| 10\15, 800.00¢
+| 28\41, 819.51¢
+|- bgcolor="#eaeaff"
+!|<small>medium</small>
+| 2L + 2m + s
+| 5/3, 884.36¢
+| 11\15, 880.00¢
+| 30\41, 878.05¢
+|- bgcolor="#eaeaff"
+!|<small>large</small>
+| 3L + m + s
+| 27/16, 905.87¢
+| 12\15, 960.00¢
+| 31\41, 907.32¢
+|-
+!rowspan=3|Seventh <br>[[TAMNAMS|1-step]]
+!| <small>small</small>
+| 2L + 2m + 2s
+| 16/9, 996.09¢
+| 12\15, 960.00¢
+| 34\41, 995.12¢
+|-
+!|<small>medium</small>
+| 3L + m + 2s
+| 9/5, 1017.60¢
+| 13\15, 1040.00¢
+| 35\41, 1024.39¢
+|-
+!|<small>large</small>
+| 3L + 2m + s
+| 15/8, 1088.27¢
+| 14\15, 1120.00¢
+| 37\41, 1082.93¢
 |}
@@ Line 85: / Line 212: @@
 ! colspan="6" |Degrees
 |-
-!D(9/8)
+! D(~9/8)
-!vE(5/4)
+! vE(~5/4)
-!F(4/3)
+! F(~4/3)
-!G(3/2)
+! G(~3/2)
-!vA(5/3)
+! vA(~5/3)
-!vB(15/8)
+! vB(~15/8)
 |-
-|JI
+| 5-limit JI
-|(~1.825):(~1.6325):1
+| (~1.825):(~1.6325):1
-|Just 9/8, 5/4 and 4/3
+| Just 9/8, 5/4 and 4/3
 |
 |203.91