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Below are listed the [[dyadic chord]]s of 11-limit [[porcupine|porcupine temperament]] that do not have generator steps 7 or 13 as dyads. Typing the chords requires consideration of the fact that porcupine conflates 10/9, 11/10 and 12/11 and also 16/9 and 7/4. If a [[transversal]] can be found which shows the chord to be essentially just, that transversal is listed along with a typing as otonal, utonal, or ambitonal. If a chord is essentially tempered, the chord is analyzed in terms of the transversals 11/10, 6/5, 16/11 and 7/4. Chords that require only [[64/63]] tempering are marked [[archytas chords|archytas]], by [[100/99]] [[ptolemismic chords|ptolemismic]], by [[121/120]] [[biyatismic chords|biyatismic]], by [[176/175]] [[valinorsmic chords|valinorsmic]], and by [[385/384]] [[keenanismic chords|keenanismic]]. Chords that require 64/63 and 176/175 tempering are marked ares, 100/99 and 385/384 tempered chords are [[supermagic chords|supermagic]], and 176/175 and 385/384 tempered chords are marked zeus. Chords that receive tempering by three independent commas above are labeled porcupine.
Below are listed the [[15-odd-limit]] [[dyadic chord]]s of [[11-limit]] [[porcupine|porcupine temperament]] that do not have generator steps 7 or 13 as [[dyad]]s. Typing the chords requires consideration of the fact that porcupine conflates [[10/9]], [[11/10]] and [[12/11]], [[11/9]] with [[6/5]], [[22/15]] with [[16/11]], and [[16/9]] with [[7/4]]. If a [[transversal]] can be found which shows the chord to be essentially just, that transversal is listed along with a typing as otonal, utonal, or ambitonal. If a chord is essentially tempered, the chord is analyzed in terms of the transversals 11/10, 6/5, 16/11 and 7/4. Chords that require only [[64/63]] tempering are marked [[archytas chords|archytas]], by [[100/99]] [[ptolemismic chords|ptolemismic]], by [[121/120]] [[biyatismic chords|biyatismic]], by [[176/175]] [[valinorsmic chords|valinorsmic]], and by [[385/384]] [[keenanismic chords|keenanismic]]. Chords that require any two of 64/63, 100/99 and 176/175 tempering are marked [[ares chords|ares]], that require 100/99 and 385/384 tempering are marked [[keemic chords|keemic]], and that require any two of 121/120, 176/175 and 385/384 are marked [[zeus chords|zeus]]. Chords that receive tempering by three independent commas above are labeled porcupine.


The transversal is in generator order. This is useful because it tells how common the chords are: For instance, a chord that appears on the sixth generation will appear exactly once in porcupine[7], twice in porcupine[8], and nine times in porcupine[15].
The transversal is in generator order. This is useful because it tells how common the chords are: For instance, a chord that appears on the sixth generation will appear exactly once in Porcupine[7], twice in Porcupine[8], and nine times in Porcupine[15].


The "As generated" column takes the intervals that were generated and places them in size order. The 1st and 2nd inversion (and so on) columns show the inversions of those generated tones. Note that this gives different results than you might be used to: the major chord (1/1 - 5/4 - 3/2, or 4:5:6) is the second inversion of the generated 0-2-5 chord.  
The "As generated" column takes the intervals that were generated and places them in size order. The 1st and 2nd inversion (and so on) columns show the inversions of those generated tones. Note that this gives different results than you might be used to: the major chord (1–5/4–3/2, or 4:5:6) is the second inversion of the generated 0–2–5 chord.  


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.  
Though we are 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 is 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]] 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, which is a third-sharp. Thus ^<sup>3</sup>C = C# and the [[enharmonic unison]] is v<sup>3</sup>A1. The generator is vM2 = 167¢ - ''c''/3, where ''c'' is the amount in cents the tempered fifth exceeds 700¢. ^1 = 33¢ + 2.33''c''. In 22edo, ^1 = 1\22 = 54.5¢.


... <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> ...  
In porcupine, 5/4 = vM3, 7/4 = m7 and 11/8 = ^4. Thus ^1 equals ~81/80 and ~33/32. This may not be true for other (P8, P4/3) temperaments. So the ratios in the table below are specific to Porcupine, but the chord names apply to any (P8, P4/3) temperament.  
 
{| class="wikitable center-all"
|+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<br>11/10
| 6/5<br>11/9
| 4/3
| 16/11
| 8/5
| 16/9<br>7/4
| 48/25<br>160/81
| 16/15<br>21/20
| 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|inline=1|complete table|research|comment=Both tetrads and pentads are incomplete. Add the missing chords.}}


== Triads ==
== Triads ==
Line 19: Line 108:
! Type
! Type
! As generated
! As generated
! 1st Inversion
! 1st inversion
! 2nd Inversion
! 2nd inversion
!name
! Name
|-
|-
| 0-1-2
| 0-1-2
Line 29: Line 118:
| 1/1-12/11-20/11
| 1/1-12/11-20/11
| 1/1-5/3-11/6
| 1/1-5/3-11/6
|^m,v9no5
| C^mv9no5
|-
|-
| 0-1-3
| 0-1-3
Line 37: Line 126:
| '''1/1-6/5-9/5'''
| '''1/1-6/5-9/5'''
| 1/1-3/2-5/3
| 1/1-3/2-5/3
|^m7no5
| C^m7no5
|-
|-
| 0-2-3
| 0-2-3
Line 45: Line 134:
| 1/1-12/11-18/11
| 1/1-12/11-18/11
| '''1/1-3/2-11/6'''
| '''1/1-3/2-11/6'''
|^m7no3
| C^m7no3
|-
|-
| 0-1-4
| 0-1-4
Line 53: Line 142:
| 1/1-4/3-11/6
| 1/1-4/3-11/6
| '''1/1-11/8-3/2'''
| '''1/1-11/8-3/2'''
|^4
| C^4
|-
|-
| 0-2-4
| 0-2-4
Line 61: Line 150:
| 1/1-11/9-5/3
| 1/1-11/9-5/3
| 1/1-15/11-18/11
| 1/1-15/11-18/11
|^m(v5)
| C^m(v5)
|-
|-
| 0-3-4
| 0-3-4
Line 69: Line 158:
| '''1/1-11/10-3/2'''
| '''1/1-11/10-3/2'''
| 1/1-15/11-20/11
| 1/1-15/11-20/11
|v2
| Cv2
|-
|-
| 0-1-5
| 0-1-5
Line 75: Line 164:
| otonal
| otonal
| 1/1-11/10-8/5
| 1/1-11/10-8/5
| 1/1-16/11-20/11
| '''1/1-16/11-9/5'''
| 1/1-5/4-11/8
| 1/1-5/4-11/8
|
| C^7(v5)no3
|-
|-
| 0-2-5
| 0-2-5
Line 85: Line 174:
| 1/1-4/3-5/3
| 1/1-4/3-5/3
| '''1/1-5/4-3/2'''
| '''1/1-5/4-3/2'''
|v
| Cv
|-
|-
| 0-3-5
| 0-3-5
Line 93: Line 182:
| '''1/1-6/5-3/2'''
| '''1/1-6/5-3/2'''
| 1/1-5/4-5/3
| 1/1-5/4-5/3
|^m
| C^m
|-
|-
| 0-4-5
| 0-4-5
Line 101: Line 190:
| 1/1-12/11-15/11
| 1/1-12/11-15/11
| '''1/1-5/4-11/6'''
| '''1/1-5/4-11/6'''
|v^7no5
| Cv^7no5
|-
|-
| 0-1-6
| 0-1-6
Line 109: Line 198:
| 1/1-8/5-9/5
| 1/1-8/5-9/5
| '''1/1-9/8-5/4'''
| '''1/1-9/8-5/4'''
|v,9no5
| Cv,9no5
|-
|-
| 0-2-6
| 0-2-6
Line 115: Line 204:
| otonal
| otonal
| 1/1-11/9-16/9
| 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'''
|
| Csus2(v5)
|-
|-
| 0-3-6
| 0-3-6
Line 125: Line 214:
| '''1/1-4/3-3/2'''
| '''1/1-4/3-3/2'''
| '''1/1-9/8-3/2'''
| '''1/1-9/8-3/2'''
|4 <u>or</u> 2
| C4 ''or'' C2
|-
|-
| 0-4-6
| 0-4-6
Line 131: Line 220:
| utonal
| utonal
| 1/1-16/11-16/9
| 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
|
| C^m^4no5
|-
|-
| 0-5-6
| 0-5-6
Line 141: Line 230:
| 1/1-10/9-5/4
| 1/1-10/9-5/4
| '''1/1-9/8-9/5'''
| '''1/1-9/8-9/5'''
|^m9no35
| C^m9no35
|-
|-
| 0-2-8
| 0-2-8
Line 147: Line 236:
| otonal
| otonal
| 1/1-16/15-6/5
| 1/1-16/15-6/5
| 1/1-9/8-15/8
| '''1/1-9/8-15/8'''
| 1/1-5/3-16/9
| 1/1-5/3-16/9
|
| CvM9no35
|-
|-
| 0-3-8
| 0-3-8
Line 157: Line 246:
| '''1/1-5/4-15/8'''
| '''1/1-5/4-15/8'''
| 1/1-3/2-8/5
| 1/1-3/2-8/5
|vM7no5
| CvM7no5
|-
|-
| 0-4-8
| 0-4-8
Line 165: Line 254:
| 1/1-11/8-15/8
| 1/1-11/8-15/8
| '''1/1-15/11-16/11'''
| '''1/1-15/11-16/11'''
|^4(v5)
| C^4(v5)
|-
|-
| 0-5-8
| 0-5-8
Line 173: Line 262:
| '''1/1-3/2-15/8'''
| '''1/1-3/2-15/8'''
| 1/1-5/4-4/3
| 1/1-5/4-4/3
|vM7no3
| CvM7no3
|-
|-
| 0-6-8
| 0-6-8
Line 180: Line 269:
| 1/1-16/15-16/9
| 1/1-16/15-16/9
| 1/1-5/3-15/8
| 1/1-5/3-15/8
| 1/1-9/8-6/5
| '''1/1-9/8-6/5'''
|
| C^m,9no5
|-
|-
| 0-1-9
| 0-1-9
| 1-11/10-7/6
| 1-11/10-7/6
| valinorsmic
| valinorsmic
| 1/1-11/10-7/6
| '''1/1-11/10-7/6'''
| 1/1-16/15-20/11
| 1/1-16/15-20/11
| 1/1-12/7-15/8
| 1/1-12/7-15/8
|
| Cmv9no5
|-
|-
| 0-3-9
| 0-3-9
Line 197: Line 286:
| 1/1-8/7-12/7
| 1/1-8/7-12/7
| '''1/1-3/2-7/4'''
| '''1/1-3/2-7/4'''
|7no3
| C7no3
|-
|-
| 0-4-9
| 0-4-9
Line 205: Line 294:
| '''1/1-5/4-12/7'''
| '''1/1-5/4-12/7'''
| 1/1-11/8-8/5
| 1/1-11/8-8/5
|v,6no5
| Cv,6no5
|-
|-
| 0-5-9
| 0-5-9
Line 213: Line 302:
| 1/1-11/8-12/7
| 1/1-11/8-12/7
| '''1/1-5/4-16/11'''
| '''1/1-5/4-16/11'''
|v(v5)
| Cv(v5)
|-
|-
| 0-6-9
| 0-6-9
Line 221: Line 310:
| 1/1-3/2-12/7
| 1/1-3/2-12/7
| 1/1-8/7-4/3
| 1/1-8/7-4/3
|m7no5
| Cm7no5
|-
|-
| 0-8-9
| 0-8-9
| 1-16/15-7/6
| 1-16/15-7/6
| valinorsmic
| valinorsmic
| 1/1-16/15-7/6
| '''1/1-16/15-7/6'''
| 1/1-11/10-15/8
| 1/1-11/10-15/8
| 1/1-12/7-20/11
| 1/1-12/7-20/11
|
| Cm^b9no5
|-
|-
| 0-1-10
| 0-1-10
Line 235: Line 324:
| otonal
| otonal
| 1/1-12/11-14/11
| 1/1-12/11-14/11
| 1/1-7/6-11/6
| '''1/1-7/6-11/6'''
| 1/1-11/7-12/7
| 1/1-11/7-12/7
|
| Cm^7no5
|-
|-
| 0-2-10
| 0-2-10
Line 244: Line 333:
| 1/1-6/5-14/11
| 1/1-6/5-14/11
| 1/1-16/15-5/3
| 1/1-16/15-5/3
| 1/1-11/7-15/8
| '''1/1-11/7-15/8'''
|
| CvM7(^5)no3
|-
|-
| 0-4-10
| 0-4-10
Line 252: Line 341:
| 1/1-14/11-16/11
| 1/1-14/11-16/11
| 1/1-8/7-11/7
| 1/1-8/7-11/7
| 1/1-11/8-7/4
| '''1/1-11/8-7/4'''
|
| C7(^4)no5
|-
|-
| 0-5-10
| 0-5-10
Line 260: Line 349:
| 1/1-14/11-8/5
| 1/1-14/11-8/5
| 1/1-5/4-11/7
| 1/1-5/4-11/7
| 1/1-5/4-8/5
| '''1/1-5/4-8/5'''
|
| Cv^b6
|-
|-
| 0-6-10
| 0-6-10
| 1-7/4-14/11
| 1-7/4-14/11
| utonal
| utonal
| 1/1-14/11-7/4
| '''1/1-14/11-7/4'''
| 1/1-11/8-11/7
| 1/1-11/8-11/7
| 1/1-8/7-16/11
| 1/1-8/7-16/11
|
| C7(v4)no5
|-
|-
| 0-8-10
| 0-8-10
Line 275: Line 364:
| valinorsmic
| valinorsmic
| 1/1-16/15-14/11
| 1/1-16/15-14/11
| 1/1-6/5-15/8
| '''1/1-6/5-15/8'''
| 1/1-11/7-5/3
| 1/1-11/7-5/3
|
| C^mvM7
|-
|-
| 0-9-10
| 0-9-10
| 1-7/6-14/11
| 1-7/6-14/11
| utonal
| utonal
| 1/1-7/6-14/11
| '''1/1-7/6-14/11'''
| 1/1-12/11-12/7
| 1/1-12/11-12/7
| 1/1-11/7-11/6
| 1/1-11/7-11/6
|
| Cm,v11no5
|-
|-
| 0-1-11
| 0-1-11
Line 291: Line 380:
| otonal
| otonal
| 1/1-11/10-7/5
| 1/1-11/10-7/5
| 1/1-14/11-20/11
| '''1/1-14/11-20/11'''
| 1/1-10/7-11/7
| 1/1-10/7-11/7
|
| C^7(v4)no5
|-
|-
| 0-2-11
| 0-2-11
Line 301: Line 390:
| 1/1-7/6-5/3
| 1/1-7/6-5/3
| 1/1-10/7-12/7
| 1/1-10/7-12/7
|^m(vv5)
| C^m(vv5)
|-
|-
| 0-3-11
| 0-3-11
Line 307: Line 396:
| archytas
| archytas
| 1/1-4/3-7/5
| 1/1-4/3-7/5
| 1/1-16/15-3/2
| '''1/1-16/15-3/2'''
| 1/1-10/7-15/8
| 1/1-10/7-15/8
|
| C^b2
|-
|-
| 0-5-11
| 0-5-11
Line 317: Line 406:
| 1/1-8/7-10/7
| 1/1-8/7-10/7
| '''1/1-5/4-7/4'''
| '''1/1-5/4-7/4'''
|v,7no5
| Cv,7no5
|-
|-
| 0-6-11
| 0-6-11
| 1-7/4-7/5
| 1-7/4-7/5
| utonal
| utonal
| 1/1-7/5-7/4
| '''1/1-7/5-7/4'''
| 1/1-5/4-10/7
| 1/1-5/4-10/7
| 1/1-8/7-8/5
| 1/1-8/7-8/5
|
| C7(vv5)no3
|-
|-
| 0-8-11
| 0-8-11
Line 333: Line 422:
| '''1/1-4/3-15/8'''
| '''1/1-4/3-15/8'''
| 1/1-10/7-3/2
| 1/1-10/7-3/2
|vM7(4)
| CvM7(4)
|-
|-
| 0-9-11
| 0-9-11
Line 341: Line 430:
| 1/1-6/5-12/7
| 1/1-6/5-12/7
| 1/1-10/7-5/3
| 1/1-10/7-5/3
|m(vv5)
| Cm(vv5)
|-
|-
| 0-10-11
| 0-10-11
| 1-14/11-7/5
| 1-14/11-7/5
| utonal
| utonal
| 1/1-14/11-7/5
| '''1/1-14/11-7/5'''
| 1/1-11/10-11/7
| 1/1-11/10-11/7
| 1/1-10/7-20/11
| 1/1-10/7-20/11
|
| Cv4(vv5)
|-
|-
| 0-1-12
| 0-1-12
Line 356: Line 445:
| 1/1-10/9-14/9
| 1/1-10/9-14/9
| 1/1-7/5-9/5
| 1/1-7/5-9/5
| 1/1-9/7-10/7
| '''1/1-9/7-10/7'''
|
| C,^^11no5
|-
|-
| 0-2-12
| 0-2-12
Line 364: Line 453:
| 1/1-11/9-14/9
| 1/1-11/9-14/9
| 1/1-14/11-18/11
| 1/1-14/11-18/11
| 1/1-9/7-11/7
| '''1/1-9/7-11/7'''
|
| C(^5)
|-
|-
| 0-3-12
| 0-3-12
Line 373: Line 462:
| '''1/1-7/6-3/2'''
| '''1/1-7/6-3/2'''
| 1/1-9/7-12/7
| 1/1-9/7-12/7
|m
| Cm
|-
|-
| 0-4-12
| 0-4-12
Line 380: Line 469:
| 1/1-16/11-14/9
| 1/1-16/11-14/9
| 1/1-16/15-11/8
| 1/1-16/15-11/8
| 1/1-9/7-15/8
| '''1/1-9/7-15/8'''
|
| C,vM7no5
|-
|-
| 0-6-12
| 0-6-12
Line 389: Line 478:
| 1/1-8/7-9/7
| 1/1-8/7-9/7
| '''1/1-9/8-7/4'''
| '''1/1-9/8-7/4'''
|9no35
| C9no35
|-
|-
| 0-8-12
| 0-8-12
Line 396: Line 485:
| 1/1-16/15-14/9
| 1/1-16/15-14/9
| 1/1-16/11-15/8
| 1/1-16/11-15/8
| 1/1-9/7-11/8
| '''1/1-9/7-11/8'''
|
| C,^11no5
|-
|-
| 0-9-12
| 0-9-12
Line 405: Line 494:
| 1/1-4/3-12/7
| 1/1-4/3-12/7
| '''1/1-9/7-3/2'''
| '''1/1-9/7-3/2'''
|(major)
| C
|-
|-
| 0-10-12
| 0-10-12
Line 412: Line 501:
| 1/1-14/11-14/9
| 1/1-14/11-14/9
| 1/1-11/9-11/7
| 1/1-11/9-11/7
| 1/1-9/7-18/11
| '''1/1-9/7-18/11'''
|
| C,v6no5
|-
|-
| 0-11-12
| 0-11-12
Line 420: Line 509:
| 1/1-7/5-14/9
| 1/1-7/5-14/9
| 1/1-10/9-10/7
| 1/1-10/9-10/7
| 1/1-9/7-9/5
| '''1/1-9/7-9/5'''
|
| C,^7no5
|-
|-
| 0-2-14
| 0-2-14
Line 515: Line 604:
! Second inversion
! Second inversion
! Third inversion
! Third inversion
!name
! Name
|-
|-
| 0-1-2-3
| 0-1-2-3
Line 523: Line 612:
| 1/1-11/10-6/5-9/5   
| 1/1-11/10-6/5-9/5   
| 1/1-12/11-18/11-20/11  
| 1/1-12/11-18/11-20/11  
| 1/1-3/2-5/3-11/6
| '''1/1-3/2-5/3-11/6'''
|
| Cv6^7no3
|-
|-
| 0-1-2-4
| 0-1-2-4
Line 533: Line 622:
| 1/1-6/5-18/11-9/5   
| 1/1-6/5-18/11-9/5   
| '''1/1-15/11-3/2-5/3'''
| '''1/1-15/11-3/2-5/3'''
|v6(^4)
| Cv6(^4)
|-
|-
| 0-1-3-4
| 0-1-3-4
Line 542: Line 631:
| '''1/1-11/10-3/2-5/3'''
| '''1/1-11/10-3/2-5/3'''
| 1/1-15/11-3/2-20/11  
| 1/1-15/11-3/2-20/11  
|v2v6
| Cv2v6
|-
|-
| 0-1-2-5
| 0-1-2-5
Line 551: Line 640:
| 1/1-4/3-5/3-11/6   
| 1/1-4/3-5/3-11/6   
| '''1/1-5/4-11/8-3/2'''
| '''1/1-5/4-11/8-3/2'''
|v^4
| Cv^4
|-
|-
| 0-1-3-5
| 0-1-3-5
Line 560: Line 649:
| '''1/1-6/5-3/2-5/3'''
| '''1/1-6/5-3/2-5/3'''
| 1/1-5/4-11/8-5/3   
| 1/1-5/4-11/8-5/3   
|^mv6
| C^mv6
|-
|-
| 0-1-4-5
| 0-1-4-5
Line 567: Line 656:
| 1/1-11/10-16/11-8/5   
| 1/1-11/10-16/11-8/5   
| 1/1-4/3-16/11-20/11  
| 1/1-4/3-16/11-20/11  
| 1/1-11/10-11/8-3/2
| '''1/1-11/10-11/8-3/2'''
| 1/1-5/4-11/8-20/11  
| 1/1-5/4-11/8-20/11  
|
| C^4v9
|-
|-
| 0-2-3-5
| 0-2-3-5
Line 578: Line 667:
| '''1/1-6/5-3/2-9/5'''
| '''1/1-6/5-3/2-9/5'''
| '''1/1-5/4-3/2-5/3'''
| '''1/1-5/4-3/2-5/3'''
|v6 or ^m7
| Cv6 ''or'' C^m7
|-
|-
|0-2-4-5
| 0-2-4-5
|
| 1-6/5-16/11-8/5
|
| ptolemismic
|
| 1/1-6/5-16/11-8/5
|
| 1/1-6/5-4/3-5/3
|
| 1/1-11/10-11/8-5/3
|
| '''1/1-5/4-3/2-9/5'''
|v^7
| Cv^7
|-
|-
| 0-2-4-6
| 0-2-4-6
| 1-6/5-16/11-7/4
| 1-6/5-16/11-7/4
| supermagic
| keemic
| 1/1-6/5-16/11-7/4
| '''1/1-6/5-16/11-7/4'''
| 1/1-6/5-16/11-5/3
| 1/1-6/5-16/11-5/3
| 1/1-6/5-11/8-5/3
| '''1/1-6/5-11/8-5/3'''
| 1/1-8/7-11/8-5/3
| 1/1-8/7-11/8-5/3
|
| C^m,7(v5) ''or''<br>C^mv6^11no5
|-
|-
| 0-3-6-9
| 0-3-6-9
| 1-4/3-7/4-7/6
| 1-4/3-7/4-7/6
| archytas
| archytas
| 1/1-7/6-4/3-7/4
| 1/1/1-7/6-4/3-7/4
| 1/1-8/7-3/2-12/7
| 1/1-8/7-3/2-12/7
| '''1/1-4/3-3/2-7/4'''
| '''1/1-4/3-3/2-7/4'''
| 1/1-8/7-4/3-3/2
| 1/1-8/7-4/3-3/2
|7sus4
| C7sus4
|-
| 0-3-9-12
| 1-4/3-7/6-14/9
| archytas
| 1/1-7/6-4/3-14/9
| '''1/1-7/6-3/2-7/4'''
| 1/1-9/8-4/3-12/7
| 1/1-9/7-3/2-12/7
| Cm7 ''or'' C6
|-
|-
| 0-4-8-12
| 0-4-8-12
Line 613: Line 711:
| 1/1-15/11-16/11-15/8
| 1/1-15/11-16/11-15/8
| 1/1-16/15-11/8-22/15
| 1/1-16/15-11/8-22/15
| 1/1-9/7-15/11-15/8
| '''1/1-9/7-11/8-15/8'''
|
| C,vM7^11no5
|}
|}


== Pentads ==
== Pentads ==
{{todo|inline=1| clarify | comment=investigate what's missing there }}
{| class="wikitable"
{| class="wikitable"
|-
|-
Line 625: Line 721:
! Transversal
! Transversal
! Type
! Type
|-
! Name
|
|
|
|-
|-
| 0-1-2-3-6
| 0-1-2-3-6
| 1-10/9-11/9-4/3-16/9
| 1-10/9-11/9-4/3-16/9
| otonal
| otonal
| Cv,9^11
|-
|-
| 0-2-3-4-6
| 0-2-3-4-6
|  
| 1-6/5-4/3-16/11-16/9
|  
| keemic
| C^m,7,11(v5) ''or''<br>C4^7v9 ''or'' C^4v6,9
|-
|-
| 0-3-4-5-6
| 0-3-4-5-6
|  
| 1-4/3-16/11-8/5-16/9
|  
| utonal
| C^mv9,11
|-
|-
| 0-2-4-6-8
| 0-2-4-6-8
| 1-6/5-16/11-7/4-16/15
| 1-6/5-16/11-7/4-16/15
| porcupine
| porcupine
| C^m,7(v5) ''or''<br>C^mv6^11no5
|-
|-
| 0-3-6-9-12
| 0-3-6-9-12
| 1-4/3-7/4-7/6-14/9
| 1-4/3-7/4-7/6-14/9
| archytas
| archytas
| C9(4) ''or'' C6,9 ''or'' Cm7,11
|}
|}


Retrieved from "https://en.xen.wiki/w/Porcupine/Chords"