@@ Line 8: / Line 8: @@
 For technical information see [[Gamelismic clan #Miracle]].
+== Interval chain ==
+In the following table, odd harmonics and subharmonics 1–21 are labeled in '''bold'''.
+{| class="wikitable center-1 right-2"
+|-
+! rowspan="3" | #
+! rowspan="3" | Cents*
+! colspan="4" | Approximate ratios
+|-
+! rowspan="2" | 11-limit
+! colspan="3" | 13-limit extensions
+|-
+! Miraculous
+! Benediction
+! Manna
+|-
+| 0
+| 0.0
+| '''1/1'''
+|
+|
+|
+|-
+| 1
+| 116.6
+| 15/14, '''16/15'''
+| 14/13
+|
+|
+|-
+| 2
+| 233.3
+| '''8/7'''
+| 15/13
+|
+|
+|-
+| 3
+| 349.9
+| 11/9
+| '''16/13'''
+|
+|
+|-
+| 4
+| 466.6
+| '''21/16'''
+| 13/10
+|
+|
+|-
+| 5
+| 583.2
+| 7/5
+|
+|
+|
+|-
+| 6
+| 699.9
+| '''3/2'''
+|
+|
+|
+|-
+| 7
+| 816.5
+| '''8/5'''
+| 21/13
+|
+|
+|-
+| 8
+| 933.2
+| 12/7
+|
+|
+|
+|-
+| 9
+| 1049.8
+| 11/6
+| 24/13
+|
+|
+|-
+| 10
+| 1166.5
+| 49/25, 55/28, 63/32, 88/45, 96/49, 108/55
+|
+|
+|
+|-
+| 11
+| 83.1
+| 21/20, 22/21
+| 26/25
+|
+|
+|-
+| 12
+| 199.8
+| '''9/8'''
+|
+|
+|
+|-
+| 13
+| 316.4
+| 6/5
+|
+|
+|
+|-
+| 14
+| 433.1
+| 9/7
+|
+|
+|
+|-
+| 15
+| 549.7
+| '''11/8'''
+| 18/13
+|
+|
+|-
+| 16
+| 666.3
+| 22/15
+|
+|
+|
+|-
+| 17
+| 783.0
+| 11/7
+|
+|
+|
+|-
+| 18
+| 899.6
+| 27/16, 42/25
+| 22/13
+|
+|
+|-
+| 19
+| 1016.3
+| 9/5
+|
+|
+|
+|-
+| 20
+| 1132.9
+| 27/14, 48/25
+|
+|
+| 52/27
+|-
+| 21
+| 49.6
+| 33/32, 36/35
+| 27/26
+|
+|
+|-
+| 22
+| 166.2
+| 11/10
+|
+|
+|
+|-
+| 23
+| 282.9
+| 33/28
+|
+|
+| 13/11
+|-
+| 24
+| 399.5
+| 44/35
+|
+|
+|
+|-
+| 25
+| 516.2
+| 27/20
+|
+|
+|
+|-
+| 26
+| 632.8
+| 36/25
+|
+|
+| 13/9
+|-
+| 27
+| 749.5
+| 54/35, 77/50
+|
+| 20/13
+|
+|-
+| 28
+| 866.1
+| 33/20
+|
+|
+|
+|-
+| 29
+| 982.8
+| 44/25
+|
+|
+|
+|-
+| 30
+| 1099.4
+| 66/35
+|
+|
+|
+|-
+| 31
+| 16.1
+| 81/80, 99/98, 121/120
+|
+|
+|
+|}
+<nowiki/>* In 11-limit [[CWE tuning]], octave reduced
 == Tuning spectra ==

Miracle extensions: Difference between revisions