Meantone: Difference between revisions

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 Dominant is an alternative extension of meantone, which represents 7/4 as a minor seventh rather than an augmented sixth. This equates 6/5 with 7/6 and 5/4 with 9/7, tempering out [[36/35]] (septimal quarter tone) and [[64/63]] (Archytas' comma).
+== Intervals ==
+{{main|Meantone intervals}}
+In the following tables, odd harmonics 1–15 are labeled in '''bold'''.
+<div><div style="display: inline-grid; margin-right: 25px;">
+{| class="wikitable sortable center-1 right-2"
+|-
+! &#35;
+! Cents*
+! class="unsortable" | Approximate ratios
+|-
+| 0
+| 0.0
+| '''1/1'''
+|-
+| 1
+| 696.7
+| '''3/2'''
+|-
+| 2
+| 193.3
+| '''9/8''', 10/9, 28/25
+|-
+| 3
+| 890.0
+| 5/3, 42/25
+|-
+| 4
+| 386.6
+| '''5/4'''
+|-
+| 5
+| 1083.3
+| '''15/8''', 28/15
+|-
+| 6
+| 579.9
+| 7/5, 25/18
+|-
+| 7
+| 76.6
+| 21/20, 25/24
+|-
+| 8
+| 773.2
+| 14/9, 25/16
+|-
+| 9
+| 269.9
+| 7/6
+|-
+| 10
+| 966.6
+| '''7/4'''
+|-
+| 11
+| 463.2
+| 21/16
+|-
+| 12
+| 1159.9
+| 35/18, 49/25, 63/32
+|}
+</div>
+<div style="display: inline-grid; margin-right: 25px;">
+{| class="wikitable sortable center-1 right-2"
+|-
+! &#35;
+! Cents*
+! class="unsortable" | Approximate ratios
+|-
+| 0
+| 0.0
+| '''1/1'''
+|-
+| -1
+| 503.3
+| 4/3
+|-
+| -2
+| 1006.7
+| 9/5, 16/9, 25/14
+|-
+| -3
+| 310.0
+| 6/5, 25/21
+|-
+| -4
+| 813.4
+| 8/5
+|-
+| -5
+| 116.7
+| 15/14, 16/15
+|-
+| -6
+| 620.1
+| 10/7, 36/25
+|-
+| -7
+| 1123.4
+| 40/21, 48/25
+|-
+| -8
+| 426.8
+| 9/7, 32/25
+|-
+| -9
+| 930.1
+| 12/7
+|-
+| -10
+| 233.4
+| 8/7
+|-
+| -11
+| 736.8
+| 32/21
+|-
+| -12
+| 40.1
+| 36/35, 50/49, 64/63
+|}
+</div>
+<nowiki/>* In [[CWE]] septimal meantone
 == Chords ==