Flattone: Difference between revisions

← Older 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
+=== As a detemperament of 7et ===
+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 right-2 right-4 right-6 right-8 right-10"
+! 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*
+! Approx. ratios
+! Cents*
+! Approx. ratios
+! Cents*
+! Approx. ratios
+! Cents*
+! Approx. ratios
+! Cents*
+! Approx. 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 ==
@@ Line 80: / Line 187: @@
 {| class="wikitable center-all left-4"
 ! Edo<br>generator
-! [[Eigenmonzo|Eigenmonzo<br>(Unchanged-interval)]]*
+! [[Eigenmonzo|Eigenmonzo<br>(unchanged-interval)]]*
 ! Generator<br>(¢)
 ! Comments