Flattone: Difference between revisions

← Older edit Newer edit →

VisualWikitext

@@ Line 71: / Line 71: @@
 | 10/7
 |}
-<nowiki/>* In 13-limit CTE tuning, octave reduced
+<nowiki>*</nowiki> In 13-limit CTE tuning, octave reduced
+== Flattone intervals ==
+Flattone is best analyzed as a 7-form system. It is melodically intuitive compared to standard meantone, in that 7-limit intervals are found as augmented and diminished versions of the category they "should" belong to (that is, the quartertone represents both 25/24 and 64/63).
+{| class="wikitable"
+! rowspan="2" |Interval category
+! colspan="2" |-2 quartertones
+! colspan="2" |-1 quartertone
+! colspan="2" |0 quartertones
+! colspan="2" |1 quartertone
+! colspan="2" |2 quartertones
+|-
+!Cents*
+!Approximate ratios
+!Cents*
+!Approximate ratios
+!Cents*
+!Approximate ratios
+!Cents*
+!Approximate ratios
+!Cents*
+!Approximate ratios
+|-
+|Unison
+|1098
+|28/15
+|1149
+|48/25, 52/27, 64/33, 35/18, 98/55, 63/32
+|0
+|1/1
+|51
+|25/24, 27/26, 33/32, 36/35, 55/54, 64/63
+|102
+|15/14
+|-
+|Second
+|84
+|28/27, 21/20
+|135
+|16/15, 12/11, 13/12, 14/13
+|186
+|9/8, 10/9, 11/10
+|237
+|8/7, 15/13
+|288
+|
+|-
+|Third
+|219
+|
+|270
+|7/6
+|321
+|6/5
+|372
+|5/4, 16/13, 26/21
+|423
+|9/7
+|-
+|Fourth
+|405
+|
+|456
+|13/10, 21/16
+|507
+|4/3
+|558
+|11/8, 18/13
+|609
+|10/7
+|-
+|Fifth
+|591
+|7/5
+|642
+|16/11, 13/9
+|693
+|3/2
+|744
+|20/13, 32/21
+|795
+|
+|-
+|Sixth
+|777
+|14/9
+|828
+|8/5, 13/8, 21/13
+|879
+|5/3
+|930
+|12/7
+|981
+|
+|-
+|Seventh
+|912
+|
+|963
+|7/4, 26/15
+|1014
+|9/5, 16/9
+|1065
+|15/8, 11/6, 13/7, 24/13
+|1116
+|40/21, 27/14
+|}
 == Scales ==