Porcupine/Chords: Difference between revisions

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@@ Line 7: / Line 7: @@
 Though we're used to thinking of 4:5:6 as the definitive "major chord", with all inversions coming from that, there is nothing definitive about calling these lists below "chord" or "inversion". That's just the way the generators came out.
-The '''bolded''' inversions are named using [[ups and downs]] as applied to [[Pergen|pergens]]. The genchain of intervals is:
+The '''bolded''' inversions are named using [[ups and downs]] as described on the [[Pergen|pergens]] page. The pergen is (P8, P4/3) third-of-a-4th, #7 in the [http://tallkite.com/misc_files/notation%20guide%20for%20rank-2%20pergens.pdf notation guide for rank-2 pergens]. One up is -7 generators, octave-reduced. The generator is vM2 = 167¢ - c/3, where c = the amount in cents the tempered fifth exceeds 700¢. ^1 = 33¢ + 2.33c. The enharmonic interval is v<sup>3</sup>A1, thus ^<sup>3</sup>C = C#.
+{| class="wikitable"
-... <u>M3</u> vA4 ^5 <u>M6</u> vM7 ^1 <u>M2</u> vM3 ^4 <u>P5</u> vM6 ^m7 '''<u>P1</u>''' vM2 ^m3 <u>P4</u> v5 ^m6 <u>m7</u> v8 ^m2 <u>m3</u> v4 ^d5 <u>m6</u> ...
+|+Porcupine's genchain
+!Genspan
+!0
+!1
+!2
+!3
+!4
+!5
+!6
+!7
+!8
+!9
+!10
+!11
+!12
+!13
+!14
+|-
+!Cents (22edo)
+|0
+|164
+|327
+|491
+|655
+|818
+|982
+|1145
+|109
+|273
+|436
+|600
+|764
+|927
+|1091
+|-
+!Ratio
+|1/1
+|10/9
+/10
+|6/5
+/9
+|4/3
+|16/11
+|8/5
+|16/9
+/4
+|14/25
+/81
+|16/15
+/20
+|7/6
+|14/11
+|7/5
+|14/9
+|
+|28/15
+|-
+!Interval
+|'''P1'''
+|vM2
+|^m3
+|'''P4'''
+|v5
+|^m6
+|'''m7'''
+|v8
+|^m2
+|'''m3'''
+|v4
+|^b5
+|'''m6'''
+|vm7
+|^d8
+|-
+!Note
+(in C)
+|'''C'''
+|vD
+|^Eb
+|'''F'''
+|vG
+|^Ab
+|'''Bb'''
+|vC
+|^Db
+|'''Eb'''
+|vF
+|^Gb
+|'''Ab'''
+|vBb
+|^Cb
+|}
+'''''TODO: complete the tables'''''
 == Triads ==
@@ Line 29: / Line 121: @@
 | 1/1-12/11-20/11
 | 1/1-5/3-11/6
-|^m,v9no5
+|^mv9no5
 |-
 | 0-1-3
@@ Line 75: / Line 167: @@
 | otonal
 | 1/1-11/10-8/5
-| 1/1-16/11-20/11
+| '''1/1-16/11-9/5'''
 | 1/1-5/4-11/8
-|
+|^7(v5)no3
 |-
 | 0-2-5
@@ Line 115: / Line 207: @@
 | otonal
 | 1/1-11/9-16/9
-| 1/1-16/11-18/11
+| 1/1-16/11-5/3
-| 1/1-9/8-11/8
+| '''1/1-9/8-11/8'''
-|
+|sus2(v5)
 |-
 | 0-3-6
@@ Line 131: / Line 223: @@
 | utonal
 | 1/1-16/11-16/9
-| 1/1-11/9-11/8
+| '''1/1-11/9-11/8'''
-| 1/1-9/8-18/11
+| 1/1-9/8-5/3
-|
+|^m^4no5
 |-
 | 0-5-6
@@ Line 147: / Line 239: @@
 | otonal
 | 1/1-16/15-6/5
-| 1/1-9/8-15/8
+| '''1/1-9/8-15/8'''
 | 1/1-5/3-16/9
-|
+|vM9no35
 |-
 | 0-3-8
@@ Line 180: / Line 272: @@
 | 1/1-16/15-16/9
 | 1/1-5/3-15/8
-| 1/1-9/8-6/5
+| '''1/1-9/8-6/5'''
-|
+|^m,9no5
 |-
 | 0-1-9
@@ Line 523: / Line 615: @@
 | 1/1-11/10-6/5-9/5
 | 1/1-12/11-18/11-20/11
-| 1/1-3/2-5/3-11/6
+| '''1/1-3/2-5/3-11/6'''
-|
+|v6^7no3
 |-
 | 0-1-2-4
@@ Line 578: / Line 670: @@
 | '''1/1-6/5-3/2-9/5'''
 | '''1/1-5/4-3/2-5/3'''
-|v6 or ^m7
+|v6 <u>or</u> ^m7
 |-
 |0-2-4-5
+|1-6/5-16/11-8/5
 |
-|
+|1-6/5-16/11-8/5
-|
 |
 |