@@ Line 13: / Line 13: @@
 Prime 17 has a much more obvious mapping, as it can be found at +8 generators, which is tuned between around 80 and 120 cents. This is also the mapping of 16/15, tempering out the [[256/255|charisma]].
+== Interval chain ==
+In the following table, odd harmonics and subharmonics 1–13 are in '''bold'''.
+{| class="wikitable center-1 right-2"
+! rowspan="3" | #
+! rowspan="3" | Cents*
+! colspan="5" | Approximate ratios
+|-
+! rowspan="2" | 11-limit
+! colspan="4" | 13-limit extensions
+|-
+! Porcupine
+! Porcupinefish
+! Porkpie
+! Porcup
+|-
+| 0
+| 0.0
+| '''1/1'''
+|
+|
+|
+|
+|-
+| 1
+| 162.8
+| 10/9, 11/10, 12/11
+| 13/12
+|
+| 14/13
+|
+|-
+| 2
+| 325.6
+| 6/5, 11/9
+| 13/11, '''16/13'''
+|
+| 26/21
+|
+|-
+| 3
+| 488.4
+| '''4/3'''
+| 13/10
+|
+|
+|
+|-
+| 4
+| 651.3
+| '''16/11''', 22/15
+| 13/9
+|
+|
+|
+|-
+| 5
+| 814.1
+| '''8/5'''
+| 21/13
+|
+| '''13/8'''
+|
+|-
+| 6
+| 976.9
+| '''7/4''', 16/9
+| 26/15
+|
+|
+|
+|-
+| 7
+| 1139.7
+| 48/25, 64/33, 160/81
+| 52/27
+| 25/13
+| 39/20
+|
+|-
+| 8
+| 102.5
+| 16/15, 21/20
+| 14/13, 26/25
+| 27/26
+| 13/12
+|
+|-
+| 9
+| 265.3
+| 7/6
+|
+| 15/13
+| 13/11
+|
+|-
+| 10
+| 428.2
+| 14/11
+|
+|
+| 13/10
+|
+|-
+| 11
+| 591.0
+| 7/5
+|
+| 18/13
+| 13/9
+|
+|-
+| 12
+| 753.8
+| 14/9
+|
+| 20/13
+|
+|
+|-
+| 13
+| 916.6
+| 42/25
+|
+| 22/13
+| 26/15
+|
+|-
+| 14
+| 1079.4
+| 28/15
+|
+| 24/13
+| 52/27
+| 13/7
+|-
+| 15
+| 42.2
+| 28/27, 49/48
+|
+| 40/39
+| 26/25
+|
+|-
+| 16
+| 205.0
+| 28/25
+|
+|
+|
+|
+|-
+| 17
+| 367.9
+| 49/40, 56/45
+|
+| '''16/13'''
+|
+| 26/21
+|-
+| 18
+| 530.7
+| 49/36
+|
+|
+|
+|
+|-
+| 19
+| 693.5
+| 49/33
+|
+|
+|
+|
+|-
+| 20
+| 856.3
+| 49/30
+|
+| 21/13
+|
+| '''13/8'''
+|-
+| 21
+| 1019.1
+| 49/27
+|
+|
+|
+|
+|-
+| 22
+| 1181.9
+| 49/25
+|
+|
+|
+| 39/20
+|}
+<nowiki/>* In 11-limit [[CWE tuning]], octave reduced
 == Tuning spectrum ==

Porcupine extensions: Difference between revisions