Porcupine temperament modal harmony

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[[toc]]
=Intro To [[Porcupine]]= 
Porcupine is significant as a 5-limit temperament because it is the only 5-limit temperament other than meantone which possesses a 7-note MOS scale that is well-supplied with 5-limit major and minor triads (specifically, it has two of each of them). What is perhaps more significant about it is how naturally it extends those triads to involve the 11th harmonic; for instance, the first five consecutive notes of the Lssssss mode approximate the consecutive harmonics 8:9:10:11:12. This makes it a prime candidate for using extended JI-style harmonies in a compact and intuitive scale structure.

It is also significant because it is supported by both 15edo and 22edo, the smallest ETs which improve on the 11-limit damage of 12edo (other than 19edo). In those ETs, Porcupine is an excellent candidate for providing a 7-nominal notational basis and 7-interval-class categorical framework for those ETs (which is important because it allows 5-limit major and minor triads to share a triad class, in keeping with common-practice conventions). Or, in other words, if you want to use 15edo or 22edo in such a way that allows you to think of 5/4 and 6/5 as types of "third", and 4/3 and 3/2 as types of "fifth", thinking of those ETs in terms of porcupine temperament is the ideal conceptual approach. //(To be continued...)//

=Brief Intro to Modal Harmony and MODMOS's= 
We should have a brief intro to all that

=Reasons Why Porcupine Will Make for The Best Modal Harmony Ever= 
The 7-note MOS of porcupine is great, but it lumps all the consonant chords together at one end of the scale (see below). It also fails to contain a complete 11-limit otonal hexad (4:5:6:7:9:11), even though porcupine is not excessively complex in the 11-limit. Thankfully, unlike in meantone[7] where the MODMOSs all reduce the number of consonant triads available, there are several MODMOSs of porcupine that contain an equal or greater number of consonant triads to the MOS (these are highlighted in blue text below). These MODMOSs also conveniently alter the distribution of triads within the scale, providing much-needed variety of possible chord progessions. Even better, some single-alteration MODMOSs make at least one full 11-limit hexad available, meaning 6 of the 7 notes of the scale can be sounded simultaneously and produce a consonant otonal harmony. The fact that porcupine temperament provides not just one 7-note scale but several that are equally-rich in harmonic resources makes it extremely fertile for modal harmony.
//(To be continued...)//

=Porcupine[7] and its MODMOSs= 

The below mode names are given in [[Modal UDP Notation|UDP notation]]. For porcupine[7], the chroma-aligned generator is the 9/5, or the 11/6 if you prefer. All generators below refer to this generator, NOT the 10/9 one. For an explanation of the spellings, see [[Porcupine Notation]].

==**The Porcupine[7] MOS**== 
||= 22edo Step Pattern ||= 15edo Step Pattern ||= UDP Name || Spelling || Triad Qualities ||= Other Notes ||
||= 4333333 ||= 3222222 ||= 6|0 || G A B C D E F || I iiº iiiº ivº v vi VII ||= Bright, otonal major (VII chord is major) ||
||= 3433333 ||= 2322222 ||= 5|1 || G Av B C D E F || I II iiiº ivº vº vi vii ||= Darker major (vii is minor) ||
||= 3343333 ||= 2232222 ||= 4|2 || G Av Bv C D E F || i II III ivº vº viº vii ||= Bright minor (II is major) ||
||= 3334333 ||= 2223222 ||= 3|3 || G Av Bv Cv D E F || i ii III IV vº viº viiº ||= Symmetric minor (ii is minor) ||
||= 3333433 ||= 2222322 ||= 2|4 || G Av Bv Cv Dv E F || iº ii iii IV V viº viiº ||= Diminished ||
||= 3333343 ||= 2222232 ||= 1|5 || G Av Bv Cv Dv Ev F || iº iiº iii iv V VI viiº ||= Diminished ||
||= 3333334 ||= 2222223 ||= 0|6 || G Av Bv Cv Dv Ev Fv || iº iiº iiiº iv v VI VII ||= [[magical seventh chord|Magical seventh]] mode ||

==Single-alteration MODMOS's== 
**MODMOS with 1st note in generator chain flattened: #.......######**
**Note: Contains a broken 4/3 chain so it has only 3 4/3s**
||= 22edo Steps ||= 15edo Steps ||= UDP Name || Spelling ||= Other Notes ||
||= 5333332 ||= 4222221 ||= 6|0 ^2^3^4^5^6^7 || G A^ B^ C^ D^ E^ F^ ||=   ||
||= 2533333 ||= 1422222 ||= 5|1 v2 || G Avv B C D E F ||=   ||
||= 3253333 ||= 2142222 ||= 4|2 v3 || G Av Bvv C D E F ||=   ||
||= 3325333 ||= 2214222 ||= 3|3 v4 || G Av Bv Cvv D E F ||=   ||
||= 3332533 ||= 2221422 ||= 2|4 v5 || G Av Bv Cv Dvv E F ||=   ||
||= 3333253 ||= 2222142 ||= 1|5 v6 || G Av Bv Cv Dv Evv F ||=   ||
||= 3333325 ||= 2222214 ||= 0|6 v7 || G Av Bv Cv Dv Ev Fvv ||=   ||

**MODMOS with 2nd note in generator chain flattened: #.....#.#####**
**Note: Contains a broken 4/3 chain so it has only 3 4/3s**
||= 22edo Steps ||= 15edo Steps ||= UDP Name || Spelling ||= Other Notes ||
||= 4333324 ||= 3222213 ||= 6|0 v7 || G A B C D E Fv ||= 8:9:10:11:12:14 hexad on the tonic in both 15edo and 22edo as G-A-B-C-D-Fv ||
||= 4433332 ||= 3322221 ||= 6|0 ^3^4^5^6^7 || G A B^ C^ D^ E^ F^ ||=   ||
||= 2443333 ||= 1332222 ||= 4|2 v2 || G Avv Bv C D E F ||=   ||
||= 3244333 ||= 2133222 ||= 3|3 v3 || G Av Bvv Cv D E F ||=   ||
||= 3324433 ||= 2213322 ||= 2|4 v4 || G Av Bv Cvv Dv E F ||=   ||
||= 3332443 ||= 2221332 ||= 1|5 v5 || G Av Bv Cv Dvv Ev F ||=   ||
||= 3333244 ||= 2222133 ||= 0|6 v6 || G Av Bv Cv Dv Evv Fv ||=   ||

**MODMOS with 3rd note in generator chain flattened: #....##.####**
**Note: Contains a broken 4/3 chain so it has only 3 4/3s**
||= 22edo Steps ||= 15edo Steps ||= UDP Name || Spelling ||= Other Notes ||
||= 4333243 ||= 3222132 ||= 6|0 v6 || G A B C D Ev F ||=   ||
||= 3433324 ||= 2322213 ||= 5|1 v7 || G Av B C D E Fv ||=   ||
||= 4343332 ||= 3232221 ||= 6|0 ^4^5^6^7 || G A B C^ D^ E^ F^ ||=   ||
||= 2434333 ||= 1323222 ||= 3|3 v2 || G Avv Bv Cv D E F ||=   ||
||= 3243433 ||= 2132322 ||= 2|4 v3 || G Av Bvv Cv Dv E F ||=   ||
||= 3324343 ||= 2213232 ||= 1|5 v4 || G Av Bv Cvv Dv Ev F ||=   ||
||= 3332434 ||= 2221323 ||= 0|6 v5 || G Av Bv Cv Dvv Ev Fv ||=   ||

**MODMOS with 4th note in generator chain flattened: #...###.###**
**Note: Contains a broken 4/3 chain so it has only 3 4/3s**
||= 22edo Steps ||= 15edo Steps ||= UDP Name || Spelling ||= Other Notes ||
||= 4332433 ||= 3221322 ||= 6|0 v5 || G A B C Dv E F ||=   ||
||= 3433243 ||= 2322132 ||= 5|1 v6 || G Av B C D Ev F ||=   ||
||= 3343324 ||= 2232213 ||= 4|2 v7 || G Av Bv C D E Fv ||=   ||
||= 4334332 ||= 3223221 ||= 6|0 ^5^6^7 || G A B C D^ E^ F^ ||=   ||
||= 2433433 ||= 1322322 ||= 2|4 v2 || G Avv Bv Cv Dv E F ||=   ||
||= 3243343 ||= 2132232 ||= 1|5 v3 || G Av Bvv Cv Dv Ev F ||=   ||
||= 3324334 ||= 2213223 ||= 0|6 v4 || G Av Bv Cvv Dv Ev Fv ||=   ||

<span style="color: #0000ff;">**MODMOS with 5th note in generator chain flattened: #..####.##**</span>
**Consists of unbroken chains of 4/3s**
||= 22edo Steps ||= 15edo Steps ||= UDP Name || Spelling ||= Other Notes ||
||= 4324333 ||= 3213222 ||= 6|0 v4 || G A B Cv D E F ||= I, IV, v, vi "mixolydian-like"* ||
||= 3432433 ||= 2321322 ||= 5|1 v5 || G Av B C Dv E F ||=   ||
||= 3343243 ||= 2232132 ||= 4|2 v6 || G Av Bv C D Ev F ||= i, III, VI, vii ||
||= 3334324 ||= 2223213 ||= 3|3 v7 || G Av Bv Cv D E Fv ||= i, ii, IV, VII "dorian-like" ||
||= 4333432 ||= 3222321 ||= 6|0 ^6^7 || G A B C D E^ F^ ||= I, ii, iii, V "ionian-like";
8:9:10:11:12:14 on the tonic in 15edo as G-A-B-C-D-E^ 
(but not in 22edo) ||
||= 2433343 ||= 1322232 ||= 1|5 v2 || G Avv Bv Cv Dv Ev F ||=   ||
||= 3243334 ||= 2132223 ||= 0|6 v3 || G Av Bvv Cv Dv Ev Fv ||=   ||
* This kind of name is obviously stupid because these porcupine scales are not really like the diatonic modes "mixolydian", "dorian", etc. As always, feel free to edit if you have some better description.

<span style="color: #0000ff;">**Symmetrical MODMOS with 2nd note in generator chain sharpened or 6th note flattened: #.#####.#**</span>
**Consists of unbroken chains of 4/3s**
||= 22edo Steps ||= 15edo Steps ||= UDP Name #1 ||= UDP Name #2 || Spelling ||= Other Notes ||
||= 4333342 ||= 3222231 ||= 6|0 ^7 ||= (1|5 v1) || G A B C D E F^ ||= Major with major V chord (most major-sounding major) ||
||= 2433334 ||= 1322223 ||= (5|1 ^1) ||= 0|6 v2 || G Avv Bv Cv Dv Ev Fv ||= Magical seventh ||
||= 4243333 ||= 3132222 ||= 4|2 ^2 ||= 6|0 v3 || G A Bv C D E F ||= Minor with minor v chord (most minor-sounding minor) ||
||= 3424333 ||= 2313222 ||= 3|3 ^3 ||= 5|1 v4 || G Av B Cv D E F ||= Major with major IV chord ||
||= 3342433 ||= 2231322 ||= 2|4 ^4 ||= 4|2 v5 || G Av Bv C Dv E F ||= Symmetric diminished ||
||= 3334243 ||= 2223132 ||= 1|5 ^5 ||= 3|3 v6 || G Av Bv Cv D Ev F ||= Minor with minor vi ||
||= 3333424 ||= 2222313 ||= 0|6 ^6 ||= 2|4 v7 || G Av Bv Cv Dv E Fv ||= Magical seventh ||

<span style="color: #0000ff;">**MODMOS with 3rd note in generator chain sharpened: ##.####..#**</span>
**Consists of unbroken chains of 4/3s**
||= 22edo Steps ||= 15edo Steps ||= UDP Name || Spelling ||= Other Notes ||
||= 4333423 ||= 3222312 ||= 6|0 ^6 || G A B C D E^ F ||= I, ii, v, VII "mixolydian-like"
8:9:10:11:12:14 on the tonic in 15edo only ||
||= 3433342 ||= 2322231 ||= 5|1 ^7 || G Av B C D E F^ ||= I, II, iii, vi ||
||= 2343334 ||= 1232223 ||= 0|6 v2 v3 || G Avv Bvv Cv Dv Ev Fv ||=   ||
||= 4234333 ||= 3123222 ||= 3|3 ^2 || G A Bv Cv D E F ||= i, III, IV, v "dorian-like"
Keenan finds this one exceptionally beautiful
and suggests it as a candidate for default "minor" ||
||= 3423433 ||= 2312322 ||= 2|4 ^3 || G Av B Cv Dv E F ||=   ||
||= 3342343 ||= 2231232 ||= 1|5 ^4 || G Av Bv C Dv Ev F ||=   ||
||= 3334234 ||= 2223123 ||= 0|6 ^5 || G Av Bv Cv D Ev Fv ||= i, iv, VI, VII "aeolian-like" ||

**MODMOS with 4th note in generator chain sharpened: ###.###...#**
**Note: Contains a broken 4/3 chain so it has only 3 4/3s**
||= 22edo Steps ||= 15edo Steps ||= UDP Name || Spelling ||= Other Notes ||
||= 4334233 ||= 3223122 ||= 6|0 ^5 || G A B C D^ E F ||=   ||
||= 3433423 ||= 2322312 ||= 5|1 ^6 || G Av B C D E^ F ||=   ||
||= 3343342 ||= 2232231 ||= 4|2 ^7 || G Av Bv C D E F^ ||=   ||
||= 2334334 ||= 1223223 ||= 0|6 v2v3v4 || G Avv Bvv Cvv Dv Ev Fv ||=   ||
||= 4233433 ||= 3122322 ||= 2|4 ^2 || G A Bv Cv Dv E F ||=   ||
||= 3423343 ||= 2312232 ||= 1|5 ^3 || G Av B Cv Dv Ev F ||=   ||
||= 3342334 ||= 2231223 ||= 0|6 ^4 || G Av Bv C Dv Ev Fv ||=   ||

**MODMOS with 5th note in generator chain sharpened: ####.##....#**
**Note: Contains a broken 4/3 chain so it has only 3 4/3s**
||= 22edo Steps ||= 15edo Steps ||= UDP Name || Spelling ||= Other Notes ||
||= 4342333 ||= 3231222 ||= 6|0 ^4 || G A B C^ D E F ||=   ||
||= 3434233 ||= 2323122 ||= 5|1 ^5 || G Av B C D^ E F ||=   ||
||= 3343423 ||= 2232312 ||= 4|2 ^6 || G Av Bv C D E^ F ||=   ||
||= 3334342 ||= 2223231 ||= 3|3 ^7 || G Av Bv Cv D E F^ ||=   ||
||= 2333434 ||= 1222323 ||= 0|6 v2v3v4v5 || G Avv Bvv Cvv Dvv Ev Fv ||=   ||
||= 4233343 ||= 3122232 ||= 1|5 ^2 || G A Bv Cv Dv Ev F ||=   ||
||= 3423334 ||= 2312223 ||= 0|6 ^3 || G Av B Cv Dv Ev Fv ||=   ||

**MODMOS with 6th note in generator chain sharpened: #####.#.....#**
**Note: Contains a broken 4/3 chain so it has only 3 4/3s**
||= 22edo Steps ||= 15edo Steps ||= UDP Name || Spelling ||= Other Notes ||
||= 4423333 ||= 3312222 ||= 6|0 ^3 || G A B^ C D E F ||=   ||
||= 3442333 ||= 2331222 ||= 5|1 ^4 || G Av B C^ D E F ||=   ||
||= 3344233 ||= 2233122 ||= 4|2 ^5 || G Av Bv C D^ E F ||=   ||
||= 3334423 ||= 2223312 ||= 3|3 ^6 || G Av Bv Cv D E^ F ||=   ||
||= 3333442 ||= 2222331 ||= 2|4 ^7 || G Av Bv Cv Dv E F^ ||=   ||
||= 2333344 ||= 1222233 ||= 0|6 v2v3v4v5v6 || G Avv Bvv Cvv Dvv Evv Fv ||=   ||
||= 4233334 ||= 3122223 ||= 0|6 ^2 || G A Bv Cv Dv Ev Fv ||=   ||

**MODMOS with 7th note in generator chain sharpened: ######.......#**
**Note: Contains a broken 4/3 chain so it has only 3 4/3s**
||= 22edo Steps ||= 15edo Steps ||= UDP Name || Spelling ||= Other Notes ||
||= 5233333 ||= 4122222 ||= 6|0 ^2 || G A^ B C D E F ||=   ||
||= 3523333 ||= 2412222 ||= 5|1 ^3 || G Av B^ C D E F ||=   ||
||= 3352333 ||= 2241222 ||= 4|2 ^4 || G Av Bv C^ D E F ||=   ||
||= 3335233 ||= 2224122 ||= 3|3 ^5 || G Av Bv Cv D^ E F ||=   ||
||= 3333523 ||= 2222412 ||= 2|4 ^6 || G Av Bv Cv Dv E^ F ||=   ||
||= 3333352 ||= 2222241 ||= 1|5 ^7 || G Av Bv Cv Dv Ev F^ ||=   ||
||= 2333335 ||= 1222224 ||= 0|6 v2v3v4v5v6v7 || G Avv Bvv Cvv Dvv Evv Fvv ||=   ||

==Notable double-alteration MODMOS's== 
||= 22edo Steps ||= 15edo Steps ||= UDP Name || Spelling ||= Other Notes ||
||= 4324342 ||= 3213231 ||= 6|0 v4 ^7 || G A B Cv D E F^ || "JI Major" scale a.k.a. Ptolemy/Zarlino ||
||= 4234243 ||= 3123132 ||= 3|3 ^2 v6 || G A Bv Cv D Ev F || "JI Minor" scale ||

=Porcupine[8] and its MODMOS's= 
All generators below refer to the porcupine[8] chroma-positive generator (the 10/9~11/10~whatever).

==The Porcupine[8] MOS== 
||= Step Pattern ||= UDP Name || Spelling ||= Other Notes ||
||= 33333331 ||= 7|0 || A B C D E F G H ||   ||
||= 33333313 ||= 6|1 || A B C D E F G Hb ||   ||
||= 33333133 ||= 5|2 || A B C D E F Gb Hb ||   ||
||= 33331333 ||= 4|3 || A B C D E Fb Gb Hb ||   ||
||= 33313333 ||= 3|4 || A B C D Eb Fb Gb Hb ||   ||
||= 33133333 ||= 2|5 || A B C Db Eb Fb Gb Hb ||   ||
||= 31333333 ||= 1|6 || A B Cb Db Eb Fb Gb Hb ||   ||
||= 13333333 ||= 0|7 || A Bb Cb Db Eb Fb Gb Hb ||   ||

==Single-alteration MODMOS's== 
===Alterations by porcupine[8] chroma=== 
**MODMOS with 2nd note in generator chain flattened:** **#......****#.****######**
||= Step Pattern ||= UDP Name || Spelling || Other Notes ||
||= 15333331 ||= 7|0 b2 || A Bb C D E F G H ||   ||
||= 53333311 ||= 7|0 #2#3#4#5#6#7 || A B# C# D# E# F# G# H ||   ||
||= 33333115 ||= 5|2 b8 || A B C D E F Gb Hbb ||   ||
||= 33331153 ||= 4|3 b7 || A B C D E Fb Gbb Hb ||   ||
||= 33311533 ||= 3|4 b6 || A B C D Eb Fbb Gb Hb ||   ||
||= 33115333 ||= 2|5 b5 || A B C Db Ebb Fb Gb Hb ||   ||
||= 31153333 ||= 1|6 b4 || A B Cb Dbb Eb Fb Gb Hb ||   ||
||= 11533333 ||= 0|7 b3 || A Bb Cbb Db Eb Fb Gb Hb ||   ||

**MODMOS with 3rd note in generator chain flattened:** **#.....****##.****#####**
||= Step Pattern ||= UDP Name || Spelling || Other Notes ||
||= 31533331 ||= 7|0 b3 || A B Cb D E F G H ||   ||
||= 15333313 ||= 6|1 b2 || A Bb C D E F G Hb ||   ||
||= 53333131 ||= 7|0 #2#3#4#5#6 || A B# C# D# E# F# G H ||   ||
||= 33331315 ||= 4|3 b8 || A B C D E Fb Gb Hbb ||   ||
||= 33313153 ||= 3|4 b7 || A B C D Eb Fb Gbb Hb ||   ||
||= 33131533 ||= 2|5 b6 || A B C Db Eb Fbb Gb Hb ||   ||
||= 31315333 ||= 1|6 b5 || A B Cb Db Ebb Fb Gb Hb ||   ||
||= 13153333 ||= 0|7 b4 || A Bb Cb Dbb Eb Fb Gb Hb ||   ||

**MODMOS with 4th note in generator chain flattened:** **#....****##****#.####**
||= Step Pattern ||= UDP Name || Spelling || Other Notes ||
||= 33153331 ||= 7|0 b4 || A B C Db E F G H ||   ||
||= 31533313 ||= 6|1 b3 || A B Cb D E F G Hb ||   ||
||= 15333133 ||= 5|2 b2 || A Bb C D E F Gb Hb ||   ||
||= 53331331 ||= 7|0 #2#3#4#5 || A B# C# D# E# F G H ||   ||
||= 33313315 ||= 3|4 b8 || A B C D Eb Fb Gb Hbb ||   ||
||= 33133153 ||= 2|5 b7 || A B C Db Eb Fb Gbb Hb ||   ||
||= 31331533 ||= 1|6 b6 || A B Cb Db Eb Fbb Gb Hb ||   ||
||= 13315333 ||= 0|7 b5 || A Bb Cb Db Ebb Fb Gb Hb ||   ||

**MODMOS with 5th note in generator chain flattened:** **#...****##****##.###**
||= Step Pattern ||= UDP Name || Spelling || Other Notes ||
||= 33315331 ||= 7|0 b5 || A B C D Eb F G H ||   ||
||= 33153313 ||= 6|1 b4 || A B C Db E F G Hb ||   ||
||= 31533133 ||= 5|2 b3 || A B Cb D E F Gb Hb ||   ||
||= 15331333 ||= 4|3 b2 || A Bb C D E Fb Gb Hb ||   ||
||= 53313331 ||= 7|0 #2#3#4 || A B# C# D# E F G H ||   ||
||= 33133315 ||= 2|5 b8 || A B C Db Eb Fb Gb Hbb ||   ||
||= 31333153 ||= 1|6 b7 || A B Cb Db Eb Fb Gbb Hb ||   ||
||= 13331533 ||= 0|7 b6 || A Bb Cb Db Eb Fbb Gb Hb ||   ||

**MODMOS with 6th note in generator chain flattened:** **#..****##****###.##**
||= Step Pattern ||= UDP Name || Spelling || Other Notes ||
||= 33331531 ||= 7|0 b6 || A B C D E Fb G H ||   ||
||= 33315313 ||= 6|1 b5 || A B C D Eb F G Hb ||   ||
||= 33153133 ||= 5|2 b4 || A B C Db E F Gb Hb ||   ||
||= 31531333 ||= 4|3 b3 || A B Cb D E Fb Gb Hb ||   ||
||= 15313333 ||= 3|4 b2 || A Bb C D Eb Fb Gb Hb ||   ||
||= 53313331 ||= 7|0 #2#3 || A B# C# D E F G H ||   ||
||= 33133315 ||= 1|6 b8 || A B Cb Db Eb Fb Gb Hbb ||   ||
||= 31333153 ||= 0|7 b7 || A Bb Cb Db Eb Fb Gbb Hb ||   ||

**MODMOS with 7th note in generator chain flattened or 2nd sharpened:** **#.****##****####.#**
||= Step Pattern ||= UDP Name || Spelling || Other Notes ||
||= 33333151 ||= 7|0 b7 || A B C D E F Gb H ||   ||
||= 33331513 ||= 6|1 b6 || A B C D E Fb G Hb ||   ||
||= 33315133 ||= 5|2 b5 || A B C D Eb F Gb Hb ||   ||
||= 33151333 ||= 4|3 b4 || A B C Db E Fb Gb Hb ||   ||
||= 31513333 ||= 3|4 b3 || A B Cb D Eb Fb Gb Hb ||   ||
||= 15133333 ||= 2|5 b2 || A Bb C Db Eb Fb Gb Hb ||   ||
||= 51333331 ||= 7|0 #2 || A B# C D E F G H ||   ||
||= 13333315 ||= 0|7 b8 || A Bb Cb Db Eb Fb Gb Hbb ||   ||

**MODMOS with 3rd note in generator chain sharpened:** **##.****#****####..#**
||= Step Pattern ||= UDP Name || Spelling || Other Notes ||
||= 35133331 ||= 7|0 #3 || A B C# D E F G H ||   ||
||= 51333313 ||= 6|1 #2 || A B# C D E F G Hb ||   ||
||= 13333135 ||= 0|7 b7b8 || A Bb Cb Db Eb Fb Gbb Hbb ||   ||
||= 33331351 ||= 4|3 #8 || A B C D E Fb Gb H ||   ||
||= 33313513 ||= 3|4 #7 || A B C D Eb Fb G Hb ||   ||
||= 33135133 ||= 2|5 #6 || A B C Db Eb F Gb Hb ||   ||
||= 31351333 ||= 1|6 #5 || A B Cb Db E Fb Gb Hb ||   ||
||= 13513333 ||= 0|7 #4 || A Bb Cb D Eb Fb Gb Hb ||   ||

**MODMOS with 4th note in generator chain sharpened:** **###.****####...#**
||= Step Pattern ||= UDP Name || Spelling || Other Notes ||
||= 33513331 ||= 7|0 #4 || A B C D# E F G H ||   ||
||= 35133331 ||= 6|1 #3 || A B C# D E F G Hb ||   ||
||= 51333313 ||= 5|2 #2 || A B# C D E F Gb Hb ||   ||
||= 13333135 ||= 0|7 b6b7b8 || A Bb Cb Db Eb Fbb Gbb Hbb ||   ||
||= 33331351 ||= 3|4 #8 || A B C D Eb Fb Gb H ||   ||
||= 33313513 ||= 2|5 #7 || A B C Db Eb Fb G Hb ||   ||
||= 33135133 ||= 1|6 #6 || A B Cb Db Eb F Gb Hb ||   ||
||= 31351333 ||= 0|7 #5 || A Bb Cb Db E Fb Gb Hb ||   ||

**MODMOS with 5th note in generator chain sharpened:** **####.****###....#**
||= Step Pattern ||= UDP Name || Spelling || Other Notes ||
||= 33351331 ||= 7|0 #5 || A B C D E# F G H ||   ||
||= 33513331 ||= 6|1 #4 || A B C D# E F G Hb ||   ||
||= 35133313 ||= 5|2 #3 || A B C# D E F Gb Hb ||   ||
||= 51333133 ||= 4|3 #2 || A B# C D E Fb Gb Hb ||   ||
||= 13331335 ||= 0|7 b5b6b7b8 || A Bb Cb Db Ebb Fbb Gbb Hbb ||   ||
||= 33313351 ||= 2|5 #8 || A B C Db Eb Fb Gb H ||   ||
||= 33133513 ||= 1|6 #7 || A B Cb Db Eb Fb G Hb ||   ||
||= 31335133 ||= 0|7 #6 || A Bb Cb Db Eb F Gb Hb ||   ||

**MODMOS with 6th note in generator chain sharpened:** **#####.****##.....#**
||= Step Pattern ||= UDP Name || Spelling || Other Notes ||
||= 33335131 ||= 7|0 #6 || A B C D E F# G H ||   ||
||= 33351313 ||= 6|1 #5 || A B C D E# F G Hb ||   ||
||= 33513133 ||= 5|2 #4 || A B C D# E F Gb Hb ||   ||
||= 35131333 ||= 4|3 #3 || A B C# D E Fb Gb Hb ||   ||
||= 51313333 ||= 3|4 #2 || A B# C D Eb Fb Gb Hb ||   ||
||= 13133335 ||= 0|7 b4b5b6b7b8 || A Bb Cb Dbb Ebb Fbb Gbb Hbb ||   ||
||= 31333351 ||= 1|6 #8 || A B Cb Db Eb Fb Gb H ||   ||
||= 13333513 ||= 0|7 #7 || A Bb Cb Db Eb Fb G Hb ||   ||

**MODMOS with 7th note in generator chain sharpened:** **######.****#......#**
||= Step Pattern ||= UDP Name || Spelling || Other Notes ||
||= 33333511 ||= 7|0 #7 || A B C D E F G# H ||   ||
||= 33335113 ||= 6|1 #6 || A B C D E F# G Hb ||   ||
||= 33351133 ||= 5|2 #5 || A B C D E# F Gb Hb ||   ||
||= 33511333 ||= 4|3 #4 || A B C D# E Fb Gb Hb ||   ||
||= 35113333 ||= 3|4 #3 || A B C# D Eb Fb Gb Hb ||   ||
||= 51133333 ||= 2|5 #2 || A B# C Db Eb Fb Gb Hb ||   ||
||= 11333335 ||= 0|7 b3b4b5b6b7b8 || A Bb Cbb Dbb Ebb Fbb Gbb Hbb ||   ||
||= 13333351 ||= 0|7 #8 || A Bb Cb Db Eb Fb Gb H ||   ||
===Alterations by Porcupine[7] chroma=== 
**MODMOS with 2nd note in generator chain flattened**
||= Step Pattern ||= UDP Name || Spelling ||= Other Notes ||
||= 24333331 ||= 7|0 v2 || A Bv C D E F G H ||   ||
||= 43333312 ||= 6|1 ^2^3^4^5^6^7^8 || A B^ C^ D^ E^ F^ G^ Hb^ ||   ||
||= 33333124 ||= 5|2 v8 || A B C D E F Gb Hbv ||   ||
||= 33331243 ||= 4|3 v7 || A B C D E Fb Gbv Hb ||   ||
||= 33312433 ||= 3|4 v6 || A B C D Eb Fbv Gb Hb ||   ||
||= 33124333 ||= 2|5 v5 || A B C Db Ebv Fb Gb Hb ||   ||
||= 31243333 ||= 1|6 v4 || A B Cb Dbv Eb Fb Gb Hb ||   ||
||= 12433333 ||= 0|7 v3 || A Bb Cbv Db Eb Fb Gb Hb ||   ||

**MODMOS with 3rd note in generator chain flattened**
||= Step Pattern ||= UDP Name || Spelling ||= Other Notes ||
||= 32433331 ||= 7|0 v3 || A B Cv D E F G H ||   ||
||= 24333313 ||= 6|1 v2 || A Bv C D E F G Hb ||   ||
||= 43333132 ||= 5|2 ^2^3^4^5^6^7^8 || A B^ C^ D^ E^ F^ Gb^ Hb^ ||   ||
||= 33331324 ||= 4|3 v8 || A B C D E Fb Gb Hbv ||   ||
||= 33313243 ||= 3|4 v7 || A B C D Eb Fb Gbv Hb ||   ||
||= 33132433 ||= 2|5 v6 || A B C Db Eb Fbv Gb Hb ||   ||
||= 31324333 ||= 1|6 v5 || A B Cb Db Ebv Fb Gb Hb ||   ||
||= 13243333 ||= 0|7 v4 || A Bb Cb Dbv Eb Fb Gb Hb ||   ||

**MODMOS with 4th note in generator chain flattened**
||= Step Pattern ||= UDP Name || Spelling ||= Other Notes ||
||= 33243331 ||= 7|0 v4 || A B C Dv E F G H ||   ||
||= 32433313 ||= 6|1 v3 || A B Cv D E F G Hb ||   ||
||= 24333133 ||= 5|2 v2 || A Bv C D E F Gb Hb ||   ||
||= 43331332 ||= 4|3 ^2^3^4^5^6^7^8 || A B^ C^ D^ E^ Fb^ Gb^ Hb^ ||   ||
||= 33313324 ||= 3|4 v8 || A B C D Eb Fb Gb Hbv ||   ||
||= 33133243 ||= 2|5 v7 || A B C Db Eb Fb Gbv Hb ||   ||
||= 31332433 ||= 1|6 v6 || A B Cb Db Eb Fbv Gb Hb ||   ||
||= 13324333 ||= 0|7 v5 || A Bb Cb Db Ebv Fb Gb Hb ||   ||

**MODMOS with 5th note in generator chain flattened**
||= Step Pattern ||= UDP Name || Spelling ||= Other Notes ||
||= 33324331 ||= 7|0 v5 || A B C D Ev F G H ||   ||
||= 33243313 ||= 6|1 v4 || A B C Dv E F G Hb ||   ||
||= 32433133 ||= 5|2 v3 || A B Cv D E F Gb Hb ||   ||
||= 24331333 ||= 4|3 v2 || A Bv C D E Fb Gb Hb ||   ||
||= 43313332 ||= 3|4 ^2^3^4^5^6^7^8 || A B^ C^ D^ Eb^ Fb^ Gb^ Hb^ ||   ||
||= 33133324 ||= 2|5 v8 || A B C Db Eb Fb Gb Hbv ||   ||
||= 31333243 ||= 1|6 v7 || A B Cb Db Eb Fb Gbv Hb ||   ||
||= 13332433 ||= 0|7 v6 || A Bb Cb Db Eb Fbv Gb Hb ||   ||

**MODMOS with 6th note in generator chain flattened**
||= Step Pattern ||= UDP Name || Spelling ||= Other Notes ||
||= 33332431 ||= 7|0 v6 || A B C D E Fv G H ||   ||
||= 33324313 ||= 6|1 v5 || A B C D Ev F G Hb ||   ||
||= 33243133 ||= 5|2 v4 || A B C Dv E F Gb Hb ||   ||
||= 32431333 ||= 4|3 v3 || A B Cv D E Fb Gb Hb ||   ||
||= 24313333 ||= 3|4 v2 || A Bv C D Eb Fb Gb Hb ||   ||
||= 43133332 ||= 2|5 ^2^3^4^5^6^7^8 || A B^ C^ Db^ Eb^ Fb^ Gb^ Hb^ ||   ||
||= 31333324 ||= 1|6 v8 || A B Cb Db Eb Fb Gb Hbv ||   ||
||= 13333243 ||= 0|7 v7 || A Bb Cb Db Eb Fb Gbv Hb ||   ||

**MODMOS with 7th note in generator chain flattened**
||= Step Pattern ||= UDP Name || Spelling ||= Other Notes ||
||= 33333241 ||= 7|0 v7 || A B C D E F Gv H ||   ||
||= 33332413 ||= 6|1 v6 || A B C D E Fv G Hb ||   ||
||= 33324133 ||= 5|2 v5 || A B C D Ev F Gb Hb ||   ||
||= 33241333 ||= 4|3 v4 || A B C Dv E Fb Gb Hb ||   ||
||= 32413333 ||= 3|4 v3 || A B Cv D Eb Fb Gb Hb ||   ||
||= 24133333 ||= 2|5 v2 || A Bv C Db Eb Fb Gb Hb ||   ||
||= 41333332 ||= 1|6 ^2^3^4^5^6^7^8 || A B^ Cb^ Db^ Eb^ Fb^ Gb^ Hb^ ||   ||
||= 13333324 ||= 0|7 v8 || A Bb Cb Db Eb Fb Gb Hbv ||   ||

**MODMOS with 8th note in generator chain flattened**
||= Step Pattern ||= UDP Name || Spelling ||= Other Notes ||
||= 33333322 ||= 7|0 v8 || A B C D E F G Hv ||   ||
||= 33333223 ||= 6|1 v7 || A B C D E F Gv Hb ||   ||
||= 33332233 ||= 5|2 v6 || A B C D E Fv Gb Hb ||   ||
||= 33322333 ||= 4|3 v5 || A B C D Ev Fb Gb Hb ||   ||
||= 33223333 ||= 3|4 v4 || A B C Dv Eb Fb Gb Hb ||   ||
||= 32233333 ||= 2|5 v3 || A B Cv Db Eb Fb Gb Hb ||   ||
||= 22333333 ||= 1|6 v2 || A Bv Cb Db Eb Fb Gb Hb ||   ||
||= 23333332 ||= 0|7 ^2^3^4^5^6^7^8 || A Bb^ Cb^ Db^ Eb^ Fb^ Gb^ Hb^ ||   ||

**MODMOS with 1st note in generator chain sharpened (in 22edo this gives same modes as flattening 8th note)**
||= Step Pattern ||= UDP Name || Spelling ||= Other Notes ||
||= 23333332 ||= 7|0 v2v3v4v5v6v7v8 || A Bv Cv Dv Ev Fv Gv Hv ||   ||
||= 33333322 ||= 6|1 ^8 || A B C D E F G Hb^ ||   ||
||= 33333223 ||= 5|2 ^7 || A B C D E F Gb^ Hb ||   ||
||= 33332233 ||= 4|3 ^6 || A B C D E Fb^ Gb Hb ||   ||
||= 33322333 ||= 3|4 ^5 || A B C D Eb^ Fb Gb Hb ||   ||
||= 33223333 ||= 2|5 ^4 || A B C Db^ Eb Fb Gb Hb ||   ||
||= 32233333 ||= 1|6 ^3 || A B Cb^ Db Eb Fb Gb Hb ||   ||
||= 22333333 ||= 0|7 ^2 || A Bb^ Cb Db Eb Fb Gb Hb ||   ||

**MODMOS with 2nd note in generator chain sharpened**
||= Step Pattern ||= UDP Name || Spelling ||= Other Notes ||
||= 42333331 ||= 7|0 ^2 || A B^ C D E F G H ||   ||
||= 23333314 ||= 6|1 v2v3v4v5v6v7v8 || A Bv Cv Dv Ev Fv Gv Hbv ||   ||
||= 33333142 ||= 5|2 ^8 || A B C D E F Gb Hb^ ||   ||
||= 33331423 ||= 4|3 ^7 || A B C D E Fb Gb^ Hb ||   ||
||= 33314233 ||= 3|4 ^6 || A B C D Eb Fb^ Gb Hb ||   ||
||= 33142333 ||= 2|5 ^5 || A B C Db Eb^ Fb Gb Hb ||   ||
||= 31423333 ||= 1|6 ^4 || A B Cb Db^ Eb Fb Gb Hb ||   ||
||= 14233333 ||= 0|7 ^3 || A Bb Cb^ Db Eb Fb Gb Hb ||   ||

**MODMOS with 3rd note in generator chain sharpened**
||= Step Pattern ||= UDP Name || Spelling ||= Other Notes ||
||= 34233331 ||= 7|0 ^3 || A B C^ D E F G H ||   ||
||= 42333313 ||= 6|1^2 || A B^ C D E F G Hb ||   ||
||= 23333134 ||= 5|2 v2v3v4v5v6v7v8 || A Bv Cv Dv Ev Fv Gbv Hbv ||   ||
||= 33331342 ||= 4|3 ^8 || A B C D E Fb Gb Hb^ ||   ||
||= 33313423 ||= 3|4 ^7 || A B C D Eb Fb Gb^ Hb ||   ||
||= 33134233 ||= 2|5 ^6 || A B C Db Eb Fb^ Gb Hb ||   ||
||= 31342333 ||= 1|6 ^5 || A B Cb Db Eb^ Fb Gb Hb ||   ||
||= 13423333 ||= 0|7 ^4 || A Bb Cb Db^ Eb Fb Gb Hb ||   ||

**MODMOS with 4th note in generator chain sharpened**
||= Step Pattern ||= UDP Name || Spelling ||= Other Notes ||
||= 33423331 ||= 7|0 ^4 || A B C D^ E F G H ||   ||
||= 34233313 ||= 6|1^3 || A B C^ D E F G Hb ||   ||
||= 42333133 ||= 5|2 ^2 || A B^ C D E F Gb Hb ||   ||
||= 23331334 ||= 4|3 v2v3v4v5v6v7v8 || A Bv Cv Dv Ev Fbv Gbv Hbv ||   ||
||= 33313342 ||= 3|4 ^8 || A B C D Eb Fb Gb Hb^ ||   ||
||= 33133423 ||= 2|5 ^7 || A B C Db Eb Fb Gb^ Hb ||   ||
||= 31334233 ||= 1|6 ^6 || A B Cb Db Eb Fb^ Gb Hb ||   ||
||= 13342333 ||= 0|7 ^5 || A Bb Cb Db Eb^ Fb Gb Hb ||   ||

**MODMOS with 5th note in generator chain sharpened**
||= Step Pattern ||= UDP Name || Spelling ||= Other Notes ||
||= 33342331 ||= 7|0 ^5 || A B C D E^ F G H ||   ||
||= 33423313 ||= 6|1^4 || A B C D^ E F G Hb ||   ||
||= 34233133 ||= 5|2 ^3 || A B C^ D E F Gb Hb ||   ||
||= 42331333 ||= 4|3 ^2 || A B^ C D E Fb Gb Hb ||   ||
||= 23313334 ||= 3|4 v2v3v4v5v6v7v8 || A Bv Cv Dv Ebv Fbv Gbv Hbv ||   ||
||= 33133342 ||= 2|5 ^8 || A B C Db Eb Fb Gb Hb^ ||   ||
||= 31333423 ||= 1|6 ^7 || A B Cb Db Eb Fb Gb^ Hb ||   ||
||= 13334233 ||= 0|7 ^6 || A Bb Cb Db Eb Fb^ Gb Hb ||   ||

**MODMOS with 6th note in generator chain sharpened**
||= Step Pattern ||= UDP Name || Spelling ||= Other Notes ||
||= 33334231 ||= 7|0 ^6 || A B C D E F^ G H ||   ||
||= 33342313 ||= 6|1 ^5 || A B C D E^ F G Hb ||   ||
||= 33423133 ||= 5|2 ^4 || A B C D^ E F Gb Hb ||   ||
||= 34231333 ||= 4|3 ^3 || A B C^ D E Fb Gb Hb ||   ||
||= 42313333 ||= 3|4 ^2 || A B^ C D Eb Fb Gb Hb ||   ||
||= 23133334 ||= 2|5 v2v3v4v5v6v7v8 || A Bv Cv Dbv Ebv Fbv Gbv Hbv ||   ||
||= 31333342 ||= 1|6 ^8 || A B Cb Db Eb Fb Gb Hb^ ||   ||
||= 13333423 ||= 0|7 ^7 || A Bb Cb Db Eb Fb Gb^ Hb ||   ||

**MODMOS with 7th note in generator chain sharpened**
||= Step Pattern ||= UDP Name || Spelling ||= Other Notes ||
||= 33333421 ||= 7|0 ^7 || A B C D E F G^ H ||   ||
||= 33334213 ||= 6|1 ^6 || A B C D E F^ G Hb ||   ||
||= 33342133 ||= 5|2 ^5 || A B C D E^ F Gb Hb ||   ||
||= 33421333 ||= 4|3 ^4 || A B C D^ E Fb Gb Hb ||   ||
||= 34213333 ||= 3|4 ^3 || A B C^ D Eb Fb Gb Hb ||   ||
||= 42133333 ||= 2|5 ^2 || A B^ C Db Eb Fb Gb Hb ||   ||
||= 21333334 ||= 1|6 v2v3v4v5v6v7v8 || A Bv Cbv Dbv Ebv Fbv Gbv Hbv ||   ||
||= 13333342 ||= 0|7 ^8 || A Bb Cb Db Eb Fb Gb Hb^ ||   ||

Original HTML content:

<html><head><title>Porcupine Temperament Modal Harmony</title></head><body><!-- ws:start:WikiTextTocRule:24:&lt;img id=&quot;wikitext@@toc@@normal&quot; class=&quot;WikiMedia WikiMediaToc&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/normal?w=225&amp;h=100&quot;/&gt; --><div id="toc"><h1 class="nopad">Table of Contents</h1><!-- ws:end:WikiTextTocRule:24 --><!-- ws:start:WikiTextTocRule:25: --><div style="margin-left: 1em;"><a href="#Intro To Porcupine">Intro To Porcupine</a></div>
<!-- ws:end:WikiTextTocRule:25 --><!-- ws:start:WikiTextTocRule:26: --><div style="margin-left: 1em;"><a href="#Brief Intro to Modal Harmony and MODMOS's">Brief Intro to Modal Harmony and MODMOS's</a></div>
<!-- ws:end:WikiTextTocRule:26 --><!-- ws:start:WikiTextTocRule:27: --><div style="margin-left: 1em;"><a href="#Reasons Why Porcupine Will Make for The Best Modal Harmony Ever">Reasons Why Porcupine Will Make for The Best Modal Harmony Ever</a></div>
<!-- ws:end:WikiTextTocRule:27 --><!-- ws:start:WikiTextTocRule:28: --><div style="margin-left: 1em;"><a href="#Porcupine[7] and its MODMOSs">Porcupine[7] and its MODMOSs</a></div>
<!-- ws:end:WikiTextTocRule:28 --><!-- ws:start:WikiTextTocRule:29: --><div style="margin-left: 2em;"><a href="#Porcupine[7] and its MODMOSs-The Porcupine[7] MOS">The Porcupine[7] MOS</a></div>
<!-- ws:end:WikiTextTocRule:29 --><!-- ws:start:WikiTextTocRule:30: --><div style="margin-left: 2em;"><a href="#Porcupine[7] and its MODMOSs-Single-alteration MODMOS's">Single-alteration MODMOS's</a></div>
<!-- ws:end:WikiTextTocRule:30 --><!-- ws:start:WikiTextTocRule:31: --><div style="margin-left: 2em;"><a href="#Porcupine[7] and its MODMOSs-Notable double-alteration MODMOS's">Notable double-alteration MODMOS's</a></div>
<!-- ws:end:WikiTextTocRule:31 --><!-- ws:start:WikiTextTocRule:32: --><div style="margin-left: 1em;"><a href="#Porcupine[8] and its MODMOS's">Porcupine[8] and its MODMOS's</a></div>
<!-- ws:end:WikiTextTocRule:32 --><!-- ws:start:WikiTextTocRule:33: --><div style="margin-left: 2em;"><a href="#Porcupine[8] and its MODMOS's-The Porcupine[8] MOS">The Porcupine[8] MOS</a></div>
<!-- ws:end:WikiTextTocRule:33 --><!-- ws:start:WikiTextTocRule:34: --><div style="margin-left: 2em;"><a href="#Porcupine[8] and its MODMOS's-Single-alteration MODMOS's">Single-alteration MODMOS's</a></div>
<!-- ws:end:WikiTextTocRule:34 --><!-- ws:start:WikiTextTocRule:35: --><div style="margin-left: 3em;"><a href="#Porcupine[8] and its MODMOS's-Single-alteration MODMOS's-Alterations by porcupine[8] chroma">Alterations by porcupine[8] chroma</a></div>
<!-- ws:end:WikiTextTocRule:35 --><!-- ws:start:WikiTextTocRule:36: --><div style="margin-left: 3em;"><a href="#Porcupine[8] and its MODMOS's-Single-alteration MODMOS's-Alterations by Porcupine[7] chroma">Alterations by Porcupine[7] chroma</a></div>
<!-- ws:end:WikiTextTocRule:36 --><!-- ws:start:WikiTextTocRule:37: --></div>
<!-- ws:end:WikiTextTocRule:37 --><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Intro To Porcupine"></a><!-- ws:end:WikiTextHeadingRule:0 -->Intro To <a class="wiki_link" href="/Porcupine">Porcupine</a></h1>
 Porcupine is significant as a 5-limit temperament because it is the only 5-limit temperament other than meantone which possesses a 7-note MOS scale that is well-supplied with 5-limit major and minor triads (specifically, it has two of each of them). What is perhaps more significant about it is how naturally it extends those triads to involve the 11th harmonic; for instance, the first five consecutive notes of the Lssssss mode approximate the consecutive harmonics 8:9:10:11:12. This makes it a prime candidate for using extended JI-style harmonies in a compact and intuitive scale structure.<br />
<br />
It is also significant because it is supported by both 15edo and 22edo, the smallest ETs which improve on the 11-limit damage of 12edo (other than 19edo). In those ETs, Porcupine is an excellent candidate for providing a 7-nominal notational basis and 7-interval-class categorical framework for those ETs (which is important because it allows 5-limit major and minor triads to share a triad class, in keeping with common-practice conventions). Or, in other words, if you want to use 15edo or 22edo in such a way that allows you to think of 5/4 and 6/5 as types of &quot;third&quot;, and 4/3 and 3/2 as types of &quot;fifth&quot;, thinking of those ETs in terms of porcupine temperament is the ideal conceptual approach. <em>(To be continued...)</em><br />
<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Brief Intro to Modal Harmony and MODMOS's"></a><!-- ws:end:WikiTextHeadingRule:2 -->Brief Intro to Modal Harmony and MODMOS's</h1>
 We should have a brief intro to all that<br />
<br />
<!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="Reasons Why Porcupine Will Make for The Best Modal Harmony Ever"></a><!-- ws:end:WikiTextHeadingRule:4 -->Reasons Why Porcupine Will Make for The Best Modal Harmony Ever</h1>
 The 7-note MOS of porcupine is great, but it lumps all the consonant chords together at one end of the scale (see below). It also fails to contain a complete 11-limit otonal hexad (4:5:6:7:9:11), even though porcupine is not excessively complex in the 11-limit. Thankfully, unlike in meantone[7] where the MODMOSs all reduce the number of consonant triads available, there are several MODMOSs of porcupine that contain an equal or greater number of consonant triads to the MOS (these are highlighted in blue text below). These MODMOSs also conveniently alter the distribution of triads within the scale, providing much-needed variety of possible chord progessions. Even better, some single-alteration MODMOSs make at least one full 11-limit hexad available, meaning 6 of the 7 notes of the scale can be sounded simultaneously and produce a consonant otonal harmony. The fact that porcupine temperament provides not just one 7-note scale but several that are equally-rich in harmonic resources makes it extremely fertile for modal harmony.<br />
<em>(To be continued...)</em><br />
<br />
<!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc3"><a name="Porcupine[7] and its MODMOSs"></a><!-- ws:end:WikiTextHeadingRule:6 -->Porcupine[7] and its MODMOSs</h1>
 <br />
The below mode names are given in <a class="wiki_link" href="/Modal%20UDP%20Notation">UDP notation</a>. For porcupine[7], the chroma-aligned generator is the 9/5, or the 11/6 if you prefer. All generators below refer to this generator, NOT the 10/9 one. For an explanation of the spellings, see <a class="wiki_link" href="/Porcupine%20Notation">Porcupine Notation</a>.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc4"><a name="Porcupine[7] and its MODMOSs-The Porcupine[7] MOS"></a><!-- ws:end:WikiTextHeadingRule:8 --><strong>The Porcupine[7] MOS</strong></h2>
 

<table class="wiki_table">
    <tr>
        <td style="text-align: center;">22edo Step Pattern<br />
</td>
        <td style="text-align: center;">15edo Step Pattern<br />
</td>
        <td style="text-align: center;">UDP Name<br />
</td>
        <td>Spelling<br />
</td>
        <td>Triad Qualities<br />
</td>
        <td style="text-align: center;">Other Notes<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">4333333<br />
</td>
        <td style="text-align: center;">3222222<br />
</td>
        <td style="text-align: center;">6|0<br />
</td>
        <td>G A B C D E F<br />
</td>
        <td>I iiº iiiº ivº v vi VII<br />
</td>
        <td style="text-align: center;">Bright, otonal major (VII chord is major)<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">3433333<br />
</td>
        <td style="text-align: center;">2322222<br />
</td>
        <td style="text-align: center;">5|1<br />
</td>
        <td>G Av B C D E F<br />
</td>
        <td>I II iiiº ivº vº vi vii<br />
</td>
        <td style="text-align: center;">Darker major (vii is minor)<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">3343333<br />
</td>
        <td style="text-align: center;">2232222<br />
</td>
        <td style="text-align: center;">4|2<br />
</td>
        <td>G Av Bv C D E F<br />
</td>
        <td>i II III ivº vº viº vii<br />
</td>
        <td style="text-align: center;">Bright minor (II is major)<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">3334333<br />
</td>
        <td style="text-align: center;">2223222<br />
</td>
        <td style="text-align: center;">3|3<br />
</td>
        <td>G Av Bv Cv D E F<br />
</td>
        <td>i ii III IV vº viº viiº<br />
</td>
        <td style="text-align: center;">Symmetric minor (ii is minor)<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">3333433<br />
</td>
        <td style="text-align: center;">2222322<br />
</td>
        <td style="text-align: center;">2|4<br />
</td>
        <td>G Av Bv Cv Dv E F<br />
</td>
        <td>iº ii iii IV V viº viiº<br />
</td>
        <td style="text-align: center;">Diminished<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">3333343<br />
</td>
        <td style="text-align: center;">2222232<br />
</td>
        <td style="text-align: center;">1|5<br />
</td>
        <td>G Av Bv Cv Dv Ev F<br />
</td>
        <td>iº iiº iii iv V VI viiº<br />
</td>
        <td style="text-align: center;">Diminished<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">3333334<br />
</td>
        <td style="text-align: center;">2222223<br />
</td>
        <td style="text-align: center;">0|6<br />
</td>
        <td>G Av Bv Cv Dv Ev Fv<br />
</td>
        <td>iº iiº iiiº iv v VI VII<br />
</td>
        <td style="text-align: center;"><a class="wiki_link" href="/magical%20seventh%20chord">Magical seventh</a> mode<br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc5"><a name="Porcupine[7] and its MODMOSs-Single-alteration MODMOS's"></a><!-- ws:end:WikiTextHeadingRule:10 -->Single-alteration MODMOS's</h2>
 <strong>MODMOS with 1st note in generator chain flattened: #.......######</strong><br />
<strong>Note: Contains a broken 4/3 chain so it has only 3 4/3s</strong><br />


<table class="wiki_table">
    <tr>
        <td style="text-align: center;">22edo Steps<br />
</td>
        <td style="text-align: center;">15edo Steps<br />
</td>
        <td style="text-align: center;">UDP Name<br />
</td>
        <td>Spelling<br />
</td>
        <td style="text-align: center;">Other Notes<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">5333332<br />
</td>
        <td style="text-align: center;">4222221<br />
</td>
        <td style="text-align: center;">6|0 ^2^3^4^5^6^7<br />
</td>
        <td>G A^ B^ C^ D^ E^ F^<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">2533333<br />
</td>
        <td style="text-align: center;">1422222<br />
</td>
        <td style="text-align: center;">5|1 v2<br />
</td>
        <td>G Avv B C D E F<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">3253333<br />
</td>
        <td style="text-align: center;">2142222<br />
</td>
        <td style="text-align: center;">4|2 v3<br />
</td>
        <td>G Av Bvv C D E F<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">3325333<br />
</td>
        <td style="text-align: center;">2214222<br />
</td>
        <td style="text-align: center;">3|3 v4<br />
</td>
        <td>G Av Bv Cvv D E F<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">3332533<br />
</td>
        <td style="text-align: center;">2221422<br />
</td>
        <td style="text-align: center;">2|4 v5<br />
</td>
        <td>G Av Bv Cv Dvv E F<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">3333253<br />
</td>
        <td style="text-align: center;">2222142<br />
</td>
        <td style="text-align: center;">1|5 v6<br />
</td>
        <td>G Av Bv Cv Dv Evv F<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">3333325<br />
</td>
        <td style="text-align: center;">2222214<br />
</td>
        <td style="text-align: center;">0|6 v7<br />
</td>
        <td>G Av Bv Cv Dv Ev Fvv<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
</table>

<br />
<strong>MODMOS with 2nd note in generator chain flattened: #.....#.#####</strong><br />
<strong>Note: Contains a broken 4/3 chain so it has only 3 4/3s</strong><br />


<table class="wiki_table">
    <tr>
        <td style="text-align: center;">22edo Steps<br />
</td>
        <td style="text-align: center;">15edo Steps<br />
</td>
        <td style="text-align: center;">UDP Name<br />
</td>
        <td>Spelling<br />
</td>
        <td style="text-align: center;">Other Notes<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">4333324<br />
</td>
        <td style="text-align: center;">3222213<br />
</td>
        <td style="text-align: center;">6|0 v7<br />
</td>
        <td>G A B C D E Fv<br />
</td>
        <td style="text-align: center;">8:9:10:11:12:14 hexad on the tonic in both 15edo and 22edo as G-A-B-C-D-Fv<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">4433332<br />
</td>
        <td style="text-align: center;">3322221<br />
</td>
        <td style="text-align: center;">6|0 ^3^4^5^6^7<br />
</td>
        <td>G A B^ C^ D^ E^ F^<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">2443333<br />
</td>
        <td style="text-align: center;">1332222<br />
</td>
        <td style="text-align: center;">4|2 v2<br />
</td>
        <td>G Avv Bv C D E F<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">3244333<br />
</td>
        <td style="text-align: center;">2133222<br />
</td>
        <td style="text-align: center;">3|3 v3<br />
</td>
        <td>G Av Bvv Cv D E F<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">3324433<br />
</td>
        <td style="text-align: center;">2213322<br />
</td>
        <td style="text-align: center;">2|4 v4<br />
</td>
        <td>G Av Bv Cvv Dv E F<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">3332443<br />
</td>
        <td style="text-align: center;">2221332<br />
</td>
        <td style="text-align: center;">1|5 v5<br />
</td>
        <td>G Av Bv Cv Dvv Ev F<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">3333244<br />
</td>
        <td style="text-align: center;">2222133<br />
</td>
        <td style="text-align: center;">0|6 v6<br />
</td>
        <td>G Av Bv Cv Dv Evv Fv<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
</table>

<br />
<strong>MODMOS with 3rd note in generator chain flattened: #....##.####</strong><br />
<strong>Note: Contains a broken 4/3 chain so it has only 3 4/3s</strong><br />


<table class="wiki_table">
    <tr>
        <td style="text-align: center;">22edo Steps<br />
</td>
        <td style="text-align: center;">15edo Steps<br />
</td>
        <td style="text-align: center;">UDP Name<br />
</td>
        <td>Spelling<br />
</td>
        <td style="text-align: center;">Other Notes<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">4333243<br />
</td>
        <td style="text-align: center;">3222132<br />
</td>
        <td style="text-align: center;">6|0 v6<br />
</td>
        <td>G A B C D Ev F<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">3433324<br />
</td>
        <td style="text-align: center;">2322213<br />
</td>
        <td style="text-align: center;">5|1 v7<br />
</td>
        <td>G Av B C D E Fv<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">4343332<br />
</td>
        <td style="text-align: center;">3232221<br />
</td>
        <td style="text-align: center;">6|0 ^4^5^6^7<br />
</td>
        <td>G A B C^ D^ E^ F^<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">2434333<br />
</td>
        <td style="text-align: center;">1323222<br />
</td>
        <td style="text-align: center;">3|3 v2<br />
</td>
        <td>G Avv Bv Cv D E F<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">3243433<br />
</td>
        <td style="text-align: center;">2132322<br />
</td>
        <td style="text-align: center;">2|4 v3<br />
</td>
        <td>G Av Bvv Cv Dv E F<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">3324343<br />
</td>
        <td style="text-align: center;">2213232<br />
</td>
        <td style="text-align: center;">1|5 v4<br />
</td>
        <td>G Av Bv Cvv Dv Ev F<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">3332434<br />
</td>
        <td style="text-align: center;">2221323<br />
</td>
        <td style="text-align: center;">0|6 v5<br />
</td>
        <td>G Av Bv Cv Dvv Ev Fv<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
</table>

<br />
<strong>MODMOS with 4th note in generator chain flattened: #...###.###</strong><br />
<strong>Note: Contains a broken 4/3 chain so it has only 3 4/3s</strong><br />


<table class="wiki_table">
    <tr>
        <td style="text-align: center;">22edo Steps<br />
</td>
        <td style="text-align: center;">15edo Steps<br />
</td>
        <td style="text-align: center;">UDP Name<br />
</td>
        <td>Spelling<br />
</td>
        <td style="text-align: center;">Other Notes<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">4332433<br />
</td>
        <td style="text-align: center;">3221322<br />
</td>
        <td style="text-align: center;">6|0 v5<br />
</td>
        <td>G A B C Dv E F<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">3433243<br />
</td>
        <td style="text-align: center;">2322132<br />
</td>
        <td style="text-align: center;">5|1 v6<br />
</td>
        <td>G Av B C D Ev F<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">3343324<br />
</td>
        <td style="text-align: center;">2232213<br />
</td>
        <td style="text-align: center;">4|2 v7<br />
</td>
        <td>G Av Bv C D E Fv<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">4334332<br />
</td>
        <td style="text-align: center;">3223221<br />
</td>
        <td style="text-align: center;">6|0 ^5^6^7<br />
</td>
        <td>G A B C D^ E^ F^<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">2433433<br />
</td>
        <td style="text-align: center;">1322322<br />
</td>
        <td style="text-align: center;">2|4 v2<br />
</td>
        <td>G Avv Bv Cv Dv E F<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">3243343<br />
</td>
        <td style="text-align: center;">2132232<br />
</td>
        <td style="text-align: center;">1|5 v3<br />
</td>
        <td>G Av Bvv Cv Dv Ev F<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">3324334<br />
</td>
        <td style="text-align: center;">2213223<br />
</td>
        <td style="text-align: center;">0|6 v4<br />
</td>
        <td>G Av Bv Cvv Dv Ev Fv<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
</table>

<br />
<span style="color: #0000ff;"><strong>MODMOS with 5th note in generator chain flattened: #..####.##</strong></span><br />
<strong>Consists of unbroken chains of 4/3s</strong><br />


<table class="wiki_table">
    <tr>
        <td style="text-align: center;">22edo Steps<br />
</td>
        <td style="text-align: center;">15edo Steps<br />
</td>
        <td style="text-align: center;">UDP Name<br />
</td>
        <td>Spelling<br />
</td>
        <td style="text-align: center;">Other Notes<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">4324333<br />
</td>
        <td style="text-align: center;">3213222<br />
</td>
        <td style="text-align: center;">6|0 v4<br />
</td>
        <td>G A B Cv D E F<br />
</td>
        <td style="text-align: center;">I, IV, v, vi &quot;mixolydian-like&quot;*<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">3432433<br />
</td>
        <td style="text-align: center;">2321322<br />
</td>
        <td style="text-align: center;">5|1 v5<br />
</td>
        <td>G Av B C Dv E F<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">3343243<br />
</td>
        <td style="text-align: center;">2232132<br />
</td>
        <td style="text-align: center;">4|2 v6<br />
</td>
        <td>G Av Bv C D Ev F<br />
</td>
        <td style="text-align: center;">i, III, VI, vii<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">3334324<br />
</td>
        <td style="text-align: center;">2223213<br />
</td>
        <td style="text-align: center;">3|3 v7<br />
</td>
        <td>G Av Bv Cv D E Fv<br />
</td>
        <td style="text-align: center;">i, ii, IV, VII &quot;dorian-like&quot;<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">4333432<br />
</td>
        <td style="text-align: center;">3222321<br />
</td>
        <td style="text-align: center;">6|0 ^6^7<br />
</td>
        <td>G A B C D E^ F^<br />
</td>
        <td style="text-align: center;">I, ii, iii, V &quot;ionian-like&quot;;<br />
8:9:10:11:12:14 on the tonic in 15edo as G-A-B-C-D-E^ <br />
(but not in 22edo)<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">2433343<br />
</td>
        <td style="text-align: center;">1322232<br />
</td>
        <td style="text-align: center;">1|5 v2<br />
</td>
        <td>G Avv Bv Cv Dv Ev F<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">3243334<br />
</td>
        <td style="text-align: center;">2132223<br />
</td>
        <td style="text-align: center;">0|6 v3<br />
</td>
        <td>G Av Bvv Cv Dv Ev Fv<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
</table>

<ul><li>This kind of name is obviously stupid because these porcupine scales are not really like the diatonic modes &quot;mixolydian&quot;, &quot;dorian&quot;, etc. As always, feel free to edit if you have some better description.</li></ul><br />
<span style="color: #0000ff;"><strong>Symmetrical MODMOS with 2nd note in generator chain sharpened or 6th note flattened: #.#####.#</strong></span><br />
<strong>Consists of unbroken chains of 4/3s</strong><br />


<table class="wiki_table">
    <tr>
        <td style="text-align: center;">22edo Steps<br />
</td>
        <td style="text-align: center;">15edo Steps<br />
</td>
        <td style="text-align: center;">UDP Name #1<br />
</td>
        <td style="text-align: center;">UDP Name #2<br />
</td>
        <td>Spelling<br />
</td>
        <td style="text-align: center;">Other Notes<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">4333342<br />
</td>
        <td style="text-align: center;">3222231<br />
</td>
        <td style="text-align: center;">6|0 ^7<br />
</td>
        <td style="text-align: center;">(1|5 v1)<br />
</td>
        <td>G A B C D E F^<br />
</td>
        <td style="text-align: center;">Major with major V chord (most major-sounding major)<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">2433334<br />
</td>
        <td style="text-align: center;">1322223<br />
</td>
        <td style="text-align: center;">(5|1 ^1)<br />
</td>
        <td style="text-align: center;">0|6 v2<br />
</td>
        <td>G Avv Bv Cv Dv Ev Fv<br />
</td>
        <td style="text-align: center;">Magical seventh<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">4243333<br />
</td>
        <td style="text-align: center;">3132222<br />
</td>
        <td style="text-align: center;">4|2 ^2<br />
</td>
        <td style="text-align: center;">6|0 v3<br />
</td>
        <td>G A Bv C D E F<br />
</td>
        <td style="text-align: center;">Minor with minor v chord (most minor-sounding minor)<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">3424333<br />
</td>
        <td style="text-align: center;">2313222<br />
</td>
        <td style="text-align: center;">3|3 ^3<br />
</td>
        <td style="text-align: center;">5|1 v4<br />
</td>
        <td>G Av B Cv D E F<br />
</td>
        <td style="text-align: center;">Major with major IV chord<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">3342433<br />
</td>
        <td style="text-align: center;">2231322<br />
</td>
        <td style="text-align: center;">2|4 ^4<br />
</td>
        <td style="text-align: center;">4|2 v5<br />
</td>
        <td>G Av Bv C Dv E F<br />
</td>
        <td style="text-align: center;">Symmetric diminished<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">3334243<br />
</td>
        <td style="text-align: center;">2223132<br />
</td>
        <td style="text-align: center;">1|5 ^5<br />
</td>
        <td style="text-align: center;">3|3 v6<br />
</td>
        <td>G Av Bv Cv D Ev F<br />
</td>
        <td style="text-align: center;">Minor with minor vi<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">3333424<br />
</td>
        <td style="text-align: center;">2222313<br />
</td>
        <td style="text-align: center;">0|6 ^6<br />
</td>
        <td style="text-align: center;">2|4 v7<br />
</td>
        <td>G Av Bv Cv Dv E Fv<br />
</td>
        <td style="text-align: center;">Magical seventh<br />
</td>
    </tr>
</table>

<br />
<span style="color: #0000ff;"><strong>MODMOS with 3rd note in generator chain sharpened: ##.####..#</strong></span><br />
<strong>Consists of unbroken chains of 4/3s</strong><br />


<table class="wiki_table">
    <tr>
        <td style="text-align: center;">22edo Steps<br />
</td>
        <td style="text-align: center;">15edo Steps<br />
</td>
        <td style="text-align: center;">UDP Name<br />
</td>
        <td>Spelling<br />
</td>
        <td style="text-align: center;">Other Notes<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">4333423<br />
</td>
        <td style="text-align: center;">3222312<br />
</td>
        <td style="text-align: center;">6|0 ^6<br />
</td>
        <td>G A B C D E^ F<br />
</td>
        <td style="text-align: center;">I, ii, v, VII &quot;mixolydian-like&quot;<br />
8:9:10:11:12:14 on the tonic in 15edo only<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">3433342<br />
</td>
        <td style="text-align: center;">2322231<br />
</td>
        <td style="text-align: center;">5|1 ^7<br />
</td>
        <td>G Av B C D E F^<br />
</td>
        <td style="text-align: center;">I, II, iii, vi<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">2343334<br />
</td>
        <td style="text-align: center;">1232223<br />
</td>
        <td style="text-align: center;">0|6 v2 v3<br />
</td>
        <td>G Avv Bvv Cv Dv Ev Fv<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">4234333<br />
</td>
        <td style="text-align: center;">3123222<br />
</td>
        <td style="text-align: center;">3|3 ^2<br />
</td>
        <td>G A Bv Cv D E F<br />
</td>
        <td style="text-align: center;">i, III, IV, v &quot;dorian-like&quot;<br />
Keenan finds this one exceptionally beautiful<br />
and suggests it as a candidate for default &quot;minor&quot;<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">3423433<br />
</td>
        <td style="text-align: center;">2312322<br />
</td>
        <td style="text-align: center;">2|4 ^3<br />
</td>
        <td>G Av B Cv Dv E F<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">3342343<br />
</td>
        <td style="text-align: center;">2231232<br />
</td>
        <td style="text-align: center;">1|5 ^4<br />
</td>
        <td>G Av Bv C Dv Ev F<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">3334234<br />
</td>
        <td style="text-align: center;">2223123<br />
</td>
        <td style="text-align: center;">0|6 ^5<br />
</td>
        <td>G Av Bv Cv D Ev Fv<br />
</td>
        <td style="text-align: center;">i, iv, VI, VII &quot;aeolian-like&quot;<br />
</td>
    </tr>
</table>

<br />
<strong>MODMOS with 4th note in generator chain sharpened: ###.###...#</strong><br />
<strong>Note: Contains a broken 4/3 chain so it has only 3 4/3s</strong><br />


<table class="wiki_table">
    <tr>
        <td style="text-align: center;">22edo Steps<br />
</td>
        <td style="text-align: center;">15edo Steps<br />
</td>
        <td style="text-align: center;">UDP Name<br />
</td>
        <td>Spelling<br />
</td>
        <td style="text-align: center;">Other Notes<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">4334233<br />
</td>
        <td style="text-align: center;">3223122<br />
</td>
        <td style="text-align: center;">6|0 ^5<br />
</td>
        <td>G A B C D^ E F<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">3433423<br />
</td>
        <td style="text-align: center;">2322312<br />
</td>
        <td style="text-align: center;">5|1 ^6<br />
</td>
        <td>G Av B C D E^ F<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">3343342<br />
</td>
        <td style="text-align: center;">2232231<br />
</td>
        <td style="text-align: center;">4|2 ^7<br />
</td>
        <td>G Av Bv C D E F^<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">2334334<br />
</td>
        <td style="text-align: center;">1223223<br />
</td>
        <td style="text-align: center;">0|6 v2v3v4<br />
</td>
        <td>G Avv Bvv Cvv Dv Ev Fv<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">4233433<br />
</td>
        <td style="text-align: center;">3122322<br />
</td>
        <td style="text-align: center;">2|4 ^2<br />
</td>
        <td>G A Bv Cv Dv E F<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">3423343<br />
</td>
        <td style="text-align: center;">2312232<br />
</td>
        <td style="text-align: center;">1|5 ^3<br />
</td>
        <td>G Av B Cv Dv Ev F<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">3342334<br />
</td>
        <td style="text-align: center;">2231223<br />
</td>
        <td style="text-align: center;">0|6 ^4<br />
</td>
        <td>G Av Bv C Dv Ev Fv<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
</table>

<br />
<strong>MODMOS with 5th note in generator chain sharpened: ####.##....#</strong><br />
<strong>Note: Contains a broken 4/3 chain so it has only 3 4/3s</strong><br />


<table class="wiki_table">
    <tr>
        <td style="text-align: center;">22edo Steps<br />
</td>
        <td style="text-align: center;">15edo Steps<br />
</td>
        <td style="text-align: center;">UDP Name<br />
</td>
        <td>Spelling<br />
</td>
        <td style="text-align: center;">Other Notes<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">4342333<br />
</td>
        <td style="text-align: center;">3231222<br />
</td>
        <td style="text-align: center;">6|0 ^4<br />
</td>
        <td>G A B C^ D E F<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">3434233<br />
</td>
        <td style="text-align: center;">2323122<br />
</td>
        <td style="text-align: center;">5|1 ^5<br />
</td>
        <td>G Av B C D^ E F<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">3343423<br />
</td>
        <td style="text-align: center;">2232312<br />
</td>
        <td style="text-align: center;">4|2 ^6<br />
</td>
        <td>G Av Bv C D E^ F<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">3334342<br />
</td>
        <td style="text-align: center;">2223231<br />
</td>
        <td style="text-align: center;">3|3 ^7<br />
</td>
        <td>G Av Bv Cv D E F^<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">2333434<br />
</td>
        <td style="text-align: center;">1222323<br />
</td>
        <td style="text-align: center;">0|6 v2v3v4v5<br />
</td>
        <td>G Avv Bvv Cvv Dvv Ev Fv<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">4233343<br />
</td>
        <td style="text-align: center;">3122232<br />
</td>
        <td style="text-align: center;">1|5 ^2<br />
</td>
        <td>G A Bv Cv Dv Ev F<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">3423334<br />
</td>
        <td style="text-align: center;">2312223<br />
</td>
        <td style="text-align: center;">0|6 ^3<br />
</td>
        <td>G Av B Cv Dv Ev Fv<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
</table>

<br />
<strong>MODMOS with 6th note in generator chain sharpened: #####.#.....#</strong><br />
<strong>Note: Contains a broken 4/3 chain so it has only 3 4/3s</strong><br />


<table class="wiki_table">
    <tr>
        <td style="text-align: center;">22edo Steps<br />
</td>
        <td style="text-align: center;">15edo Steps<br />
</td>
        <td style="text-align: center;">UDP Name<br />
</td>
        <td>Spelling<br />
</td>
        <td style="text-align: center;">Other Notes<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">4423333<br />
</td>
        <td style="text-align: center;">3312222<br />
</td>
        <td style="text-align: center;">6|0 ^3<br />
</td>
        <td>G A B^ C D E F<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">3442333<br />
</td>
        <td style="text-align: center;">2331222<br />
</td>
        <td style="text-align: center;">5|1 ^4<br />
</td>
        <td>G Av B C^ D E F<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">3344233<br />
</td>
        <td style="text-align: center;">2233122<br />
</td>
        <td style="text-align: center;">4|2 ^5<br />
</td>
        <td>G Av Bv C D^ E F<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">3334423<br />
</td>
        <td style="text-align: center;">2223312<br />
</td>
        <td style="text-align: center;">3|3 ^6<br />
</td>
        <td>G Av Bv Cv D E^ F<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">3333442<br />
</td>
        <td style="text-align: center;">2222331<br />
</td>
        <td style="text-align: center;">2|4 ^7<br />
</td>
        <td>G Av Bv Cv Dv E F^<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">2333344<br />
</td>
        <td style="text-align: center;">1222233<br />
</td>
        <td style="text-align: center;">0|6 v2v3v4v5v6<br />
</td>
        <td>G Avv Bvv Cvv Dvv Evv Fv<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">4233334<br />
</td>
        <td style="text-align: center;">3122223<br />
</td>
        <td style="text-align: center;">0|6 ^2<br />
</td>
        <td>G A Bv Cv Dv Ev Fv<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
</table>

<br />
<strong>MODMOS with 7th note in generator chain sharpened: ######.......#</strong><br />
<strong>Note: Contains a broken 4/3 chain so it has only 3 4/3s</strong><br />


<table class="wiki_table">
    <tr>
        <td style="text-align: center;">22edo Steps<br />
</td>
        <td style="text-align: center;">15edo Steps<br />
</td>
        <td style="text-align: center;">UDP Name<br />
</td>
        <td>Spelling<br />
</td>
        <td style="text-align: center;">Other Notes<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">5233333<br />
</td>
        <td style="text-align: center;">4122222<br />
</td>
        <td style="text-align: center;">6|0 ^2<br />
</td>
        <td>G A^ B C D E F<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">3523333<br />
</td>
        <td style="text-align: center;">2412222<br />
</td>
        <td style="text-align: center;">5|1 ^3<br />
</td>
        <td>G Av B^ C D E F<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">3352333<br />
</td>
        <td style="text-align: center;">2241222<br />
</td>
        <td style="text-align: center;">4|2 ^4<br />
</td>
        <td>G Av Bv C^ D E F<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">3335233<br />
</td>
        <td style="text-align: center;">2224122<br />
</td>
        <td style="text-align: center;">3|3 ^5<br />
</td>
        <td>G Av Bv Cv D^ E F<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">3333523<br />
</td>
        <td style="text-align: center;">2222412<br />
</td>
        <td style="text-align: center;">2|4 ^6<br />
</td>
        <td>G Av Bv Cv Dv E^ F<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">3333352<br />
</td>
        <td style="text-align: center;">2222241<br />
</td>
        <td style="text-align: center;">1|5 ^7<br />
</td>
        <td>G Av Bv Cv Dv Ev F^<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">2333335<br />
</td>
        <td style="text-align: center;">1222224<br />
</td>
        <td style="text-align: center;">0|6 v2v3v4v5v6v7<br />
</td>
        <td>G Avv Bvv Cvv Dvv Evv Fvv<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:12:&lt;h2&gt; --><h2 id="toc6"><a name="Porcupine[7] and its MODMOSs-Notable double-alteration MODMOS's"></a><!-- ws:end:WikiTextHeadingRule:12 -->Notable double-alteration MODMOS's</h2>
 

<table class="wiki_table">
    <tr>
        <td style="text-align: center;">22edo Steps<br />
</td>
        <td style="text-align: center;">15edo Steps<br />
</td>
        <td style="text-align: center;">UDP Name<br />
</td>
        <td>Spelling<br />
</td>
        <td style="text-align: center;">Other Notes<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">4324342<br />
</td>
        <td style="text-align: center;">3213231<br />
</td>
        <td style="text-align: center;">6|0 v4 ^7<br />
</td>
        <td>G A B Cv D E F^<br />
</td>
        <td>&quot;JI Major&quot; scale a.k.a. Ptolemy/Zarlino<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">4234243<br />
</td>
        <td style="text-align: center;">3123132<br />
</td>
        <td style="text-align: center;">3|3 ^2 v6<br />
</td>
        <td>G A Bv Cv D Ev F<br />
</td>
        <td>&quot;JI Minor&quot; scale<br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:14:&lt;h1&gt; --><h1 id="toc7"><a name="Porcupine[8] and its MODMOS's"></a><!-- ws:end:WikiTextHeadingRule:14 -->Porcupine[8] and its MODMOS's</h1>
 All generators below refer to the porcupine[8] chroma-positive generator (the 10/9~11/10~whatever).<br />
<br />
<!-- ws:start:WikiTextHeadingRule:16:&lt;h2&gt; --><h2 id="toc8"><a name="Porcupine[8] and its MODMOS's-The Porcupine[8] MOS"></a><!-- ws:end:WikiTextHeadingRule:16 -->The Porcupine[8] MOS</h2>
 

<table class="wiki_table">
    <tr>
        <td style="text-align: center;">Step Pattern<br />
</td>
        <td style="text-align: center;">UDP Name<br />
</td>
        <td>Spelling<br />
</td>
        <td style="text-align: center;">Other Notes<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33333331<br />
</td>
        <td style="text-align: center;">7|0<br />
</td>
        <td>A B C D E F G H<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33333313<br />
</td>
        <td style="text-align: center;">6|1<br />
</td>
        <td>A B C D E F G Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33333133<br />
</td>
        <td style="text-align: center;">5|2<br />
</td>
        <td>A B C D E F Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33331333<br />
</td>
        <td style="text-align: center;">4|3<br />
</td>
        <td>A B C D E Fb Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33313333<br />
</td>
        <td style="text-align: center;">3|4<br />
</td>
        <td>A B C D Eb Fb Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33133333<br />
</td>
        <td style="text-align: center;">2|5<br />
</td>
        <td>A B C Db Eb Fb Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">31333333<br />
</td>
        <td style="text-align: center;">1|6<br />
</td>
        <td>A B Cb Db Eb Fb Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">13333333<br />
</td>
        <td style="text-align: center;">0|7<br />
</td>
        <td>A Bb Cb Db Eb Fb Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:18:&lt;h2&gt; --><h2 id="toc9"><a name="Porcupine[8] and its MODMOS's-Single-alteration MODMOS's"></a><!-- ws:end:WikiTextHeadingRule:18 -->Single-alteration MODMOS's</h2>
 <!-- ws:start:WikiTextHeadingRule:20:&lt;h3&gt; --><h3 id="toc10"><a name="Porcupine[8] and its MODMOS's-Single-alteration MODMOS's-Alterations by porcupine[8] chroma"></a><!-- ws:end:WikiTextHeadingRule:20 -->Alterations by porcupine[8] chroma</h3>
 <strong>MODMOS with 2nd note in generator chain flattened:</strong> <strong>#......</strong><strong>#.</strong><strong>######</strong><br />


<table class="wiki_table">
    <tr>
        <td style="text-align: center;">Step Pattern<br />
</td>
        <td style="text-align: center;">UDP Name<br />
</td>
        <td>Spelling<br />
</td>
        <td>Other Notes<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">15333331<br />
</td>
        <td style="text-align: center;">7|0 b2<br />
</td>
        <td>A Bb C D E F G H<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">53333311<br />
</td>
        <td style="text-align: center;">7|0 #2#3#4#5#6#7<br />
</td>
        <td>A B# C# D# E# F# G# H<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33333115<br />
</td>
        <td style="text-align: center;">5|2 b8<br />
</td>
        <td>A B C D E F Gb Hbb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33331153<br />
</td>
        <td style="text-align: center;">4|3 b7<br />
</td>
        <td>A B C D E Fb Gbb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33311533<br />
</td>
        <td style="text-align: center;">3|4 b6<br />
</td>
        <td>A B C D Eb Fbb Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33115333<br />
</td>
        <td style="text-align: center;">2|5 b5<br />
</td>
        <td>A B C Db Ebb Fb Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">31153333<br />
</td>
        <td style="text-align: center;">1|6 b4<br />
</td>
        <td>A B Cb Dbb Eb Fb Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">11533333<br />
</td>
        <td style="text-align: center;">0|7 b3<br />
</td>
        <td>A Bb Cbb Db Eb Fb Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
</table>

<br />
<strong>MODMOS with 3rd note in generator chain flattened:</strong> <strong>#.....</strong><strong>##.</strong><strong>#####</strong><br />


<table class="wiki_table">
    <tr>
        <td style="text-align: center;">Step Pattern<br />
</td>
        <td style="text-align: center;">UDP Name<br />
</td>
        <td>Spelling<br />
</td>
        <td>Other Notes<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">31533331<br />
</td>
        <td style="text-align: center;">7|0 b3<br />
</td>
        <td>A B Cb D E F G H<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">15333313<br />
</td>
        <td style="text-align: center;">6|1 b2<br />
</td>
        <td>A Bb C D E F G Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">53333131<br />
</td>
        <td style="text-align: center;">7|0 #2#3#4#5#6<br />
</td>
        <td>A B# C# D# E# F# G H<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33331315<br />
</td>
        <td style="text-align: center;">4|3 b8<br />
</td>
        <td>A B C D E Fb Gb Hbb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33313153<br />
</td>
        <td style="text-align: center;">3|4 b7<br />
</td>
        <td>A B C D Eb Fb Gbb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33131533<br />
</td>
        <td style="text-align: center;">2|5 b6<br />
</td>
        <td>A B C Db Eb Fbb Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">31315333<br />
</td>
        <td style="text-align: center;">1|6 b5<br />
</td>
        <td>A B Cb Db Ebb Fb Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">13153333<br />
</td>
        <td style="text-align: center;">0|7 b4<br />
</td>
        <td>A Bb Cb Dbb Eb Fb Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
</table>

<br />
<strong>MODMOS with 4th note in generator chain flattened:</strong> <strong>#....</strong><strong>##</strong><strong>#.####</strong><br />


<table class="wiki_table">
    <tr>
        <td style="text-align: center;">Step Pattern<br />
</td>
        <td style="text-align: center;">UDP Name<br />
</td>
        <td>Spelling<br />
</td>
        <td>Other Notes<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33153331<br />
</td>
        <td style="text-align: center;">7|0 b4<br />
</td>
        <td>A B C Db E F G H<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">31533313<br />
</td>
        <td style="text-align: center;">6|1 b3<br />
</td>
        <td>A B Cb D E F G Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">15333133<br />
</td>
        <td style="text-align: center;">5|2 b2<br />
</td>
        <td>A Bb C D E F Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">53331331<br />
</td>
        <td style="text-align: center;">7|0 #2#3#4#5<br />
</td>
        <td>A B# C# D# E# F G H<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33313315<br />
</td>
        <td style="text-align: center;">3|4 b8<br />
</td>
        <td>A B C D Eb Fb Gb Hbb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33133153<br />
</td>
        <td style="text-align: center;">2|5 b7<br />
</td>
        <td>A B C Db Eb Fb Gbb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">31331533<br />
</td>
        <td style="text-align: center;">1|6 b6<br />
</td>
        <td>A B Cb Db Eb Fbb Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">13315333<br />
</td>
        <td style="text-align: center;">0|7 b5<br />
</td>
        <td>A Bb Cb Db Ebb Fb Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
</table>

<br />
<strong>MODMOS with 5th note in generator chain flattened:</strong> <strong>#...</strong><strong>##</strong><strong>##.###</strong><br />


<table class="wiki_table">
    <tr>
        <td style="text-align: center;">Step Pattern<br />
</td>
        <td style="text-align: center;">UDP Name<br />
</td>
        <td>Spelling<br />
</td>
        <td>Other Notes<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33315331<br />
</td>
        <td style="text-align: center;">7|0 b5<br />
</td>
        <td>A B C D Eb F G H<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33153313<br />
</td>
        <td style="text-align: center;">6|1 b4<br />
</td>
        <td>A B C Db E F G Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">31533133<br />
</td>
        <td style="text-align: center;">5|2 b3<br />
</td>
        <td>A B Cb D E F Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">15331333<br />
</td>
        <td style="text-align: center;">4|3 b2<br />
</td>
        <td>A Bb C D E Fb Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">53313331<br />
</td>
        <td style="text-align: center;">7|0 #2#3#4<br />
</td>
        <td>A B# C# D# E F G H<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33133315<br />
</td>
        <td style="text-align: center;">2|5 b8<br />
</td>
        <td>A B C Db Eb Fb Gb Hbb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">31333153<br />
</td>
        <td style="text-align: center;">1|6 b7<br />
</td>
        <td>A B Cb Db Eb Fb Gbb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">13331533<br />
</td>
        <td style="text-align: center;">0|7 b6<br />
</td>
        <td>A Bb Cb Db Eb Fbb Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
</table>

<br />
<strong>MODMOS with 6th note in generator chain flattened:</strong> <strong>#..</strong><strong>##</strong><strong>###.##</strong><br />


<table class="wiki_table">
    <tr>
        <td style="text-align: center;">Step Pattern<br />
</td>
        <td style="text-align: center;">UDP Name<br />
</td>
        <td>Spelling<br />
</td>
        <td>Other Notes<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33331531<br />
</td>
        <td style="text-align: center;">7|0 b6<br />
</td>
        <td>A B C D E Fb G H<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33315313<br />
</td>
        <td style="text-align: center;">6|1 b5<br />
</td>
        <td>A B C D Eb F G Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33153133<br />
</td>
        <td style="text-align: center;">5|2 b4<br />
</td>
        <td>A B C Db E F Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">31531333<br />
</td>
        <td style="text-align: center;">4|3 b3<br />
</td>
        <td>A B Cb D E Fb Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">15313333<br />
</td>
        <td style="text-align: center;">3|4 b2<br />
</td>
        <td>A Bb C D Eb Fb Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">53313331<br />
</td>
        <td style="text-align: center;">7|0 #2#3<br />
</td>
        <td>A B# C# D E F G H<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33133315<br />
</td>
        <td style="text-align: center;">1|6 b8<br />
</td>
        <td>A B Cb Db Eb Fb Gb Hbb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">31333153<br />
</td>
        <td style="text-align: center;">0|7 b7<br />
</td>
        <td>A Bb Cb Db Eb Fb Gbb Hb<br />
</td>
        <td><br />
</td>
    </tr>
</table>

<br />
<strong>MODMOS with 7th note in generator chain flattened or 2nd sharpened:</strong> <strong>#.</strong><strong>##</strong><strong>####.#</strong><br />


<table class="wiki_table">
    <tr>
        <td style="text-align: center;">Step Pattern<br />
</td>
        <td style="text-align: center;">UDP Name<br />
</td>
        <td>Spelling<br />
</td>
        <td>Other Notes<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33333151<br />
</td>
        <td style="text-align: center;">7|0 b7<br />
</td>
        <td>A B C D E F Gb H<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33331513<br />
</td>
        <td style="text-align: center;">6|1 b6<br />
</td>
        <td>A B C D E Fb G Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33315133<br />
</td>
        <td style="text-align: center;">5|2 b5<br />
</td>
        <td>A B C D Eb F Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33151333<br />
</td>
        <td style="text-align: center;">4|3 b4<br />
</td>
        <td>A B C Db E Fb Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">31513333<br />
</td>
        <td style="text-align: center;">3|4 b3<br />
</td>
        <td>A B Cb D Eb Fb Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">15133333<br />
</td>
        <td style="text-align: center;">2|5 b2<br />
</td>
        <td>A Bb C Db Eb Fb Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">51333331<br />
</td>
        <td style="text-align: center;">7|0 #2<br />
</td>
        <td>A B# C D E F G H<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">13333315<br />
</td>
        <td style="text-align: center;">0|7 b8<br />
</td>
        <td>A Bb Cb Db Eb Fb Gb Hbb<br />
</td>
        <td><br />
</td>
    </tr>
</table>

<br />
<strong>MODMOS with 3rd note in generator chain sharpened:</strong> <strong>##.</strong><strong>#</strong><strong>####..#</strong><br />


<table class="wiki_table">
    <tr>
        <td style="text-align: center;">Step Pattern<br />
</td>
        <td style="text-align: center;">UDP Name<br />
</td>
        <td>Spelling<br />
</td>
        <td>Other Notes<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">35133331<br />
</td>
        <td style="text-align: center;">7|0 #3<br />
</td>
        <td>A B C# D E F G H<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">51333313<br />
</td>
        <td style="text-align: center;">6|1 #2<br />
</td>
        <td>A B# C D E F G Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">13333135<br />
</td>
        <td style="text-align: center;">0|7 b7b8<br />
</td>
        <td>A Bb Cb Db Eb Fb Gbb Hbb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33331351<br />
</td>
        <td style="text-align: center;">4|3 #8<br />
</td>
        <td>A B C D E Fb Gb H<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33313513<br />
</td>
        <td style="text-align: center;">3|4 #7<br />
</td>
        <td>A B C D Eb Fb G Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33135133<br />
</td>
        <td style="text-align: center;">2|5 #6<br />
</td>
        <td>A B C Db Eb F Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">31351333<br />
</td>
        <td style="text-align: center;">1|6 #5<br />
</td>
        <td>A B Cb Db E Fb Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">13513333<br />
</td>
        <td style="text-align: center;">0|7 #4<br />
</td>
        <td>A Bb Cb D Eb Fb Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
</table>

<br />
<strong>MODMOS with 4th note in generator chain sharpened:</strong> <strong>###.</strong><strong>####...#</strong><br />


<table class="wiki_table">
    <tr>
        <td style="text-align: center;">Step Pattern<br />
</td>
        <td style="text-align: center;">UDP Name<br />
</td>
        <td>Spelling<br />
</td>
        <td>Other Notes<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33513331<br />
</td>
        <td style="text-align: center;">7|0 #4<br />
</td>
        <td>A B C D# E F G H<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">35133331<br />
</td>
        <td style="text-align: center;">6|1 #3<br />
</td>
        <td>A B C# D E F G Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">51333313<br />
</td>
        <td style="text-align: center;">5|2 #2<br />
</td>
        <td>A B# C D E F Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">13333135<br />
</td>
        <td style="text-align: center;">0|7 b6b7b8<br />
</td>
        <td>A Bb Cb Db Eb Fbb Gbb Hbb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33331351<br />
</td>
        <td style="text-align: center;">3|4 #8<br />
</td>
        <td>A B C D Eb Fb Gb H<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33313513<br />
</td>
        <td style="text-align: center;">2|5 #7<br />
</td>
        <td>A B C Db Eb Fb G Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33135133<br />
</td>
        <td style="text-align: center;">1|6 #6<br />
</td>
        <td>A B Cb Db Eb F Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">31351333<br />
</td>
        <td style="text-align: center;">0|7 #5<br />
</td>
        <td>A Bb Cb Db E Fb Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
</table>

<br />
<strong>MODMOS with 5th note in generator chain sharpened:</strong> <strong>####.</strong><strong>###....#</strong><br />


<table class="wiki_table">
    <tr>
        <td style="text-align: center;">Step Pattern<br />
</td>
        <td style="text-align: center;">UDP Name<br />
</td>
        <td>Spelling<br />
</td>
        <td>Other Notes<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33351331<br />
</td>
        <td style="text-align: center;">7|0 #5<br />
</td>
        <td>A B C D E# F G H<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33513331<br />
</td>
        <td style="text-align: center;">6|1 #4<br />
</td>
        <td>A B C D# E F G Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">35133313<br />
</td>
        <td style="text-align: center;">5|2 #3<br />
</td>
        <td>A B C# D E F Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">51333133<br />
</td>
        <td style="text-align: center;">4|3 #2<br />
</td>
        <td>A B# C D E Fb Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">13331335<br />
</td>
        <td style="text-align: center;">0|7 b5b6b7b8<br />
</td>
        <td>A Bb Cb Db Ebb Fbb Gbb Hbb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33313351<br />
</td>
        <td style="text-align: center;">2|5 #8<br />
</td>
        <td>A B C Db Eb Fb Gb H<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33133513<br />
</td>
        <td style="text-align: center;">1|6 #7<br />
</td>
        <td>A B Cb Db Eb Fb G Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">31335133<br />
</td>
        <td style="text-align: center;">0|7 #6<br />
</td>
        <td>A Bb Cb Db Eb F Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
</table>

<br />
<strong>MODMOS with 6th note in generator chain sharpened:</strong> <strong>#####.</strong><strong>##.....#</strong><br />


<table class="wiki_table">
    <tr>
        <td style="text-align: center;">Step Pattern<br />
</td>
        <td style="text-align: center;">UDP Name<br />
</td>
        <td>Spelling<br />
</td>
        <td>Other Notes<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33335131<br />
</td>
        <td style="text-align: center;">7|0 #6<br />
</td>
        <td>A B C D E F# G H<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33351313<br />
</td>
        <td style="text-align: center;">6|1 #5<br />
</td>
        <td>A B C D E# F G Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33513133<br />
</td>
        <td style="text-align: center;">5|2 #4<br />
</td>
        <td>A B C D# E F Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">35131333<br />
</td>
        <td style="text-align: center;">4|3 #3<br />
</td>
        <td>A B C# D E Fb Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">51313333<br />
</td>
        <td style="text-align: center;">3|4 #2<br />
</td>
        <td>A B# C D Eb Fb Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">13133335<br />
</td>
        <td style="text-align: center;">0|7 b4b5b6b7b8<br />
</td>
        <td>A Bb Cb Dbb Ebb Fbb Gbb Hbb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">31333351<br />
</td>
        <td style="text-align: center;">1|6 #8<br />
</td>
        <td>A B Cb Db Eb Fb Gb H<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">13333513<br />
</td>
        <td style="text-align: center;">0|7 #7<br />
</td>
        <td>A Bb Cb Db Eb Fb G Hb<br />
</td>
        <td><br />
</td>
    </tr>
</table>

<br />
<strong>MODMOS with 7th note in generator chain sharpened:</strong> <strong>######.</strong><strong>#......#</strong><br />


<table class="wiki_table">
    <tr>
        <td style="text-align: center;">Step Pattern<br />
</td>
        <td style="text-align: center;">UDP Name<br />
</td>
        <td>Spelling<br />
</td>
        <td>Other Notes<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33333511<br />
</td>
        <td style="text-align: center;">7|0 #7<br />
</td>
        <td>A B C D E F G# H<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33335113<br />
</td>
        <td style="text-align: center;">6|1 #6<br />
</td>
        <td>A B C D E F# G Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33351133<br />
</td>
        <td style="text-align: center;">5|2 #5<br />
</td>
        <td>A B C D E# F Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33511333<br />
</td>
        <td style="text-align: center;">4|3 #4<br />
</td>
        <td>A B C D# E Fb Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">35113333<br />
</td>
        <td style="text-align: center;">3|4 #3<br />
</td>
        <td>A B C# D Eb Fb Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">51133333<br />
</td>
        <td style="text-align: center;">2|5 #2<br />
</td>
        <td>A B# C Db Eb Fb Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">11333335<br />
</td>
        <td style="text-align: center;">0|7 b3b4b5b6b7b8<br />
</td>
        <td>A Bb Cbb Dbb Ebb Fbb Gbb Hbb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">13333351<br />
</td>
        <td style="text-align: center;">0|7 #8<br />
</td>
        <td>A Bb Cb Db Eb Fb Gb H<br />
</td>
        <td><br />
</td>
    </tr>
</table>

<!-- ws:start:WikiTextHeadingRule:22:&lt;h3&gt; --><h3 id="toc11"><a name="Porcupine[8] and its MODMOS's-Single-alteration MODMOS's-Alterations by Porcupine[7] chroma"></a><!-- ws:end:WikiTextHeadingRule:22 -->Alterations by Porcupine[7] chroma</h3>
 <strong>MODMOS with 2nd note in generator chain flattened</strong><br />


<table class="wiki_table">
    <tr>
        <td style="text-align: center;">Step Pattern<br />
</td>
        <td style="text-align: center;">UDP Name<br />
</td>
        <td>Spelling<br />
</td>
        <td style="text-align: center;">Other Notes<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">24333331<br />
</td>
        <td style="text-align: center;">7|0 v2<br />
</td>
        <td>A Bv C D E F G H<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">43333312<br />
</td>
        <td style="text-align: center;">6|1 ^2^3^4^5^6^7^8<br />
</td>
        <td>A B^ C^ D^ E^ F^ G^ Hb^<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33333124<br />
</td>
        <td style="text-align: center;">5|2 v8<br />
</td>
        <td>A B C D E F Gb Hbv<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33331243<br />
</td>
        <td style="text-align: center;">4|3 v7<br />
</td>
        <td>A B C D E Fb Gbv Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33312433<br />
</td>
        <td style="text-align: center;">3|4 v6<br />
</td>
        <td>A B C D Eb Fbv Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33124333<br />
</td>
        <td style="text-align: center;">2|5 v5<br />
</td>
        <td>A B C Db Ebv Fb Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">31243333<br />
</td>
        <td style="text-align: center;">1|6 v4<br />
</td>
        <td>A B Cb Dbv Eb Fb Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">12433333<br />
</td>
        <td style="text-align: center;">0|7 v3<br />
</td>
        <td>A Bb Cbv Db Eb Fb Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
</table>

<br />
<strong>MODMOS with 3rd note in generator chain flattened</strong><br />


<table class="wiki_table">
    <tr>
        <td style="text-align: center;">Step Pattern<br />
</td>
        <td style="text-align: center;">UDP Name<br />
</td>
        <td>Spelling<br />
</td>
        <td style="text-align: center;">Other Notes<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">32433331<br />
</td>
        <td style="text-align: center;">7|0 v3<br />
</td>
        <td>A B Cv D E F G H<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">24333313<br />
</td>
        <td style="text-align: center;">6|1 v2<br />
</td>
        <td>A Bv C D E F G Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">43333132<br />
</td>
        <td style="text-align: center;">5|2 ^2^3^4^5^6^7^8<br />
</td>
        <td>A B^ C^ D^ E^ F^ Gb^ Hb^<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33331324<br />
</td>
        <td style="text-align: center;">4|3 v8<br />
</td>
        <td>A B C D E Fb Gb Hbv<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33313243<br />
</td>
        <td style="text-align: center;">3|4 v7<br />
</td>
        <td>A B C D Eb Fb Gbv Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33132433<br />
</td>
        <td style="text-align: center;">2|5 v6<br />
</td>
        <td>A B C Db Eb Fbv Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">31324333<br />
</td>
        <td style="text-align: center;">1|6 v5<br />
</td>
        <td>A B Cb Db Ebv Fb Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">13243333<br />
</td>
        <td style="text-align: center;">0|7 v4<br />
</td>
        <td>A Bb Cb Dbv Eb Fb Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
</table>

<br />
<strong>MODMOS with 4th note in generator chain flattened</strong><br />


<table class="wiki_table">
    <tr>
        <td style="text-align: center;">Step Pattern<br />
</td>
        <td style="text-align: center;">UDP Name<br />
</td>
        <td>Spelling<br />
</td>
        <td style="text-align: center;">Other Notes<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33243331<br />
</td>
        <td style="text-align: center;">7|0 v4<br />
</td>
        <td>A B C Dv E F G H<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">32433313<br />
</td>
        <td style="text-align: center;">6|1 v3<br />
</td>
        <td>A B Cv D E F G Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">24333133<br />
</td>
        <td style="text-align: center;">5|2 v2<br />
</td>
        <td>A Bv C D E F Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">43331332<br />
</td>
        <td style="text-align: center;">4|3 ^2^3^4^5^6^7^8<br />
</td>
        <td>A B^ C^ D^ E^ Fb^ Gb^ Hb^<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33313324<br />
</td>
        <td style="text-align: center;">3|4 v8<br />
</td>
        <td>A B C D Eb Fb Gb Hbv<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33133243<br />
</td>
        <td style="text-align: center;">2|5 v7<br />
</td>
        <td>A B C Db Eb Fb Gbv Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">31332433<br />
</td>
        <td style="text-align: center;">1|6 v6<br />
</td>
        <td>A B Cb Db Eb Fbv Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">13324333<br />
</td>
        <td style="text-align: center;">0|7 v5<br />
</td>
        <td>A Bb Cb Db Ebv Fb Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
</table>

<br />
<strong>MODMOS with 5th note in generator chain flattened</strong><br />


<table class="wiki_table">
    <tr>
        <td style="text-align: center;">Step Pattern<br />
</td>
        <td style="text-align: center;">UDP Name<br />
</td>
        <td>Spelling<br />
</td>
        <td style="text-align: center;">Other Notes<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33324331<br />
</td>
        <td style="text-align: center;">7|0 v5<br />
</td>
        <td>A B C D Ev F G H<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33243313<br />
</td>
        <td style="text-align: center;">6|1 v4<br />
</td>
        <td>A B C Dv E F G Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">32433133<br />
</td>
        <td style="text-align: center;">5|2 v3<br />
</td>
        <td>A B Cv D E F Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">24331333<br />
</td>
        <td style="text-align: center;">4|3 v2<br />
</td>
        <td>A Bv C D E Fb Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">43313332<br />
</td>
        <td style="text-align: center;">3|4 ^2^3^4^5^6^7^8<br />
</td>
        <td>A B^ C^ D^ Eb^ Fb^ Gb^ Hb^<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33133324<br />
</td>
        <td style="text-align: center;">2|5 v8<br />
</td>
        <td>A B C Db Eb Fb Gb Hbv<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">31333243<br />
</td>
        <td style="text-align: center;">1|6 v7<br />
</td>
        <td>A B Cb Db Eb Fb Gbv Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">13332433<br />
</td>
        <td style="text-align: center;">0|7 v6<br />
</td>
        <td>A Bb Cb Db Eb Fbv Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
</table>

<br />
<strong>MODMOS with 6th note in generator chain flattened</strong><br />


<table class="wiki_table">
    <tr>
        <td style="text-align: center;">Step Pattern<br />
</td>
        <td style="text-align: center;">UDP Name<br />
</td>
        <td>Spelling<br />
</td>
        <td style="text-align: center;">Other Notes<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33332431<br />
</td>
        <td style="text-align: center;">7|0 v6<br />
</td>
        <td>A B C D E Fv G H<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33324313<br />
</td>
        <td style="text-align: center;">6|1 v5<br />
</td>
        <td>A B C D Ev F G Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33243133<br />
</td>
        <td style="text-align: center;">5|2 v4<br />
</td>
        <td>A B C Dv E F Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">32431333<br />
</td>
        <td style="text-align: center;">4|3 v3<br />
</td>
        <td>A B Cv D E Fb Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">24313333<br />
</td>
        <td style="text-align: center;">3|4 v2<br />
</td>
        <td>A Bv C D Eb Fb Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">43133332<br />
</td>
        <td style="text-align: center;">2|5 ^2^3^4^5^6^7^8<br />
</td>
        <td>A B^ C^ Db^ Eb^ Fb^ Gb^ Hb^<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">31333324<br />
</td>
        <td style="text-align: center;">1|6 v8<br />
</td>
        <td>A B Cb Db Eb Fb Gb Hbv<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">13333243<br />
</td>
        <td style="text-align: center;">0|7 v7<br />
</td>
        <td>A Bb Cb Db Eb Fb Gbv Hb<br />
</td>
        <td><br />
</td>
    </tr>
</table>

<br />
<strong>MODMOS with 7th note in generator chain flattened</strong><br />


<table class="wiki_table">
    <tr>
        <td style="text-align: center;">Step Pattern<br />
</td>
        <td style="text-align: center;">UDP Name<br />
</td>
        <td>Spelling<br />
</td>
        <td style="text-align: center;">Other Notes<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33333241<br />
</td>
        <td style="text-align: center;">7|0 v7<br />
</td>
        <td>A B C D E F Gv H<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33332413<br />
</td>
        <td style="text-align: center;">6|1 v6<br />
</td>
        <td>A B C D E Fv G Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33324133<br />
</td>
        <td style="text-align: center;">5|2 v5<br />
</td>
        <td>A B C D Ev F Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33241333<br />
</td>
        <td style="text-align: center;">4|3 v4<br />
</td>
        <td>A B C Dv E Fb Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">32413333<br />
</td>
        <td style="text-align: center;">3|4 v3<br />
</td>
        <td>A B Cv D Eb Fb Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">24133333<br />
</td>
        <td style="text-align: center;">2|5 v2<br />
</td>
        <td>A Bv C Db Eb Fb Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">41333332<br />
</td>
        <td style="text-align: center;">1|6 ^2^3^4^5^6^7^8<br />
</td>
        <td>A B^ Cb^ Db^ Eb^ Fb^ Gb^ Hb^<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">13333324<br />
</td>
        <td style="text-align: center;">0|7 v8<br />
</td>
        <td>A Bb Cb Db Eb Fb Gb Hbv<br />
</td>
        <td><br />
</td>
    </tr>
</table>

<br />
<strong>MODMOS with 8th note in generator chain flattened</strong><br />


<table class="wiki_table">
    <tr>
        <td style="text-align: center;">Step Pattern<br />
</td>
        <td style="text-align: center;">UDP Name<br />
</td>
        <td>Spelling<br />
</td>
        <td style="text-align: center;">Other Notes<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33333322<br />
</td>
        <td style="text-align: center;">7|0 v8<br />
</td>
        <td>A B C D E F G Hv<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33333223<br />
</td>
        <td style="text-align: center;">6|1 v7<br />
</td>
        <td>A B C D E F Gv Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33332233<br />
</td>
        <td style="text-align: center;">5|2 v6<br />
</td>
        <td>A B C D E Fv Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33322333<br />
</td>
        <td style="text-align: center;">4|3 v5<br />
</td>
        <td>A B C D Ev Fb Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33223333<br />
</td>
        <td style="text-align: center;">3|4 v4<br />
</td>
        <td>A B C Dv Eb Fb Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">32233333<br />
</td>
        <td style="text-align: center;">2|5 v3<br />
</td>
        <td>A B Cv Db Eb Fb Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">22333333<br />
</td>
        <td style="text-align: center;">1|6 v2<br />
</td>
        <td>A Bv Cb Db Eb Fb Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">23333332<br />
</td>
        <td style="text-align: center;">0|7 ^2^3^4^5^6^7^8<br />
</td>
        <td>A Bb^ Cb^ Db^ Eb^ Fb^ Gb^ Hb^<br />
</td>
        <td><br />
</td>
    </tr>
</table>

<br />
<strong>MODMOS with 1st note in generator chain sharpened (in 22edo this gives same modes as flattening 8th note)</strong><br />


<table class="wiki_table">
    <tr>
        <td style="text-align: center;">Step Pattern<br />
</td>
        <td style="text-align: center;">UDP Name<br />
</td>
        <td>Spelling<br />
</td>
        <td style="text-align: center;">Other Notes<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">23333332<br />
</td>
        <td style="text-align: center;">7|0 v2v3v4v5v6v7v8<br />
</td>
        <td>A Bv Cv Dv Ev Fv Gv Hv<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33333322<br />
</td>
        <td style="text-align: center;">6|1 ^8<br />
</td>
        <td>A B C D E F G Hb^<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33333223<br />
</td>
        <td style="text-align: center;">5|2 ^7<br />
</td>
        <td>A B C D E F Gb^ Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33332233<br />
</td>
        <td style="text-align: center;">4|3 ^6<br />
</td>
        <td>A B C D E Fb^ Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33322333<br />
</td>
        <td style="text-align: center;">3|4 ^5<br />
</td>
        <td>A B C D Eb^ Fb Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33223333<br />
</td>
        <td style="text-align: center;">2|5 ^4<br />
</td>
        <td>A B C Db^ Eb Fb Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">32233333<br />
</td>
        <td style="text-align: center;">1|6 ^3<br />
</td>
        <td>A B Cb^ Db Eb Fb Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">22333333<br />
</td>
        <td style="text-align: center;">0|7 ^2<br />
</td>
        <td>A Bb^ Cb Db Eb Fb Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
</table>

<br />
<strong>MODMOS with 2nd note in generator chain sharpened</strong><br />


<table class="wiki_table">
    <tr>
        <td style="text-align: center;">Step Pattern<br />
</td>
        <td style="text-align: center;">UDP Name<br />
</td>
        <td>Spelling<br />
</td>
        <td style="text-align: center;">Other Notes<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">42333331<br />
</td>
        <td style="text-align: center;">7|0 ^2<br />
</td>
        <td>A B^ C D E F G H<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">23333314<br />
</td>
        <td style="text-align: center;">6|1 v2v3v4v5v6v7v8<br />
</td>
        <td>A Bv Cv Dv Ev Fv Gv Hbv<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33333142<br />
</td>
        <td style="text-align: center;">5|2 ^8<br />
</td>
        <td>A B C D E F Gb Hb^<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33331423<br />
</td>
        <td style="text-align: center;">4|3 ^7<br />
</td>
        <td>A B C D E Fb Gb^ Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33314233<br />
</td>
        <td style="text-align: center;">3|4 ^6<br />
</td>
        <td>A B C D Eb Fb^ Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33142333<br />
</td>
        <td style="text-align: center;">2|5 ^5<br />
</td>
        <td>A B C Db Eb^ Fb Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">31423333<br />
</td>
        <td style="text-align: center;">1|6 ^4<br />
</td>
        <td>A B Cb Db^ Eb Fb Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">14233333<br />
</td>
        <td style="text-align: center;">0|7 ^3<br />
</td>
        <td>A Bb Cb^ Db Eb Fb Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
</table>

<br />
<strong>MODMOS with 3rd note in generator chain sharpened</strong><br />


<table class="wiki_table">
    <tr>
        <td style="text-align: center;">Step Pattern<br />
</td>
        <td style="text-align: center;">UDP Name<br />
</td>
        <td>Spelling<br />
</td>
        <td style="text-align: center;">Other Notes<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">34233331<br />
</td>
        <td style="text-align: center;">7|0 ^3<br />
</td>
        <td>A B C^ D E F G H<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">42333313<br />
</td>
        <td style="text-align: center;">6|1^2<br />
</td>
        <td>A B^ C D E F G Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">23333134<br />
</td>
        <td style="text-align: center;">5|2 v2v3v4v5v6v7v8<br />
</td>
        <td>A Bv Cv Dv Ev Fv Gbv Hbv<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33331342<br />
</td>
        <td style="text-align: center;">4|3 ^8<br />
</td>
        <td>A B C D E Fb Gb Hb^<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33313423<br />
</td>
        <td style="text-align: center;">3|4 ^7<br />
</td>
        <td>A B C D Eb Fb Gb^ Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33134233<br />
</td>
        <td style="text-align: center;">2|5 ^6<br />
</td>
        <td>A B C Db Eb Fb^ Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">31342333<br />
</td>
        <td style="text-align: center;">1|6 ^5<br />
</td>
        <td>A B Cb Db Eb^ Fb Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">13423333<br />
</td>
        <td style="text-align: center;">0|7 ^4<br />
</td>
        <td>A Bb Cb Db^ Eb Fb Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
</table>

<br />
<strong>MODMOS with 4th note in generator chain sharpened</strong><br />


<table class="wiki_table">
    <tr>
        <td style="text-align: center;">Step Pattern<br />
</td>
        <td style="text-align: center;">UDP Name<br />
</td>
        <td>Spelling<br />
</td>
        <td style="text-align: center;">Other Notes<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33423331<br />
</td>
        <td style="text-align: center;">7|0 ^4<br />
</td>
        <td>A B C D^ E F G H<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">34233313<br />
</td>
        <td style="text-align: center;">6|1^3<br />
</td>
        <td>A B C^ D E F G Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">42333133<br />
</td>
        <td style="text-align: center;">5|2 ^2<br />
</td>
        <td>A B^ C D E F Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">23331334<br />
</td>
        <td style="text-align: center;">4|3 v2v3v4v5v6v7v8<br />
</td>
        <td>A Bv Cv Dv Ev Fbv Gbv Hbv<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33313342<br />
</td>
        <td style="text-align: center;">3|4 ^8<br />
</td>
        <td>A B C D Eb Fb Gb Hb^<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33133423<br />
</td>
        <td style="text-align: center;">2|5 ^7<br />
</td>
        <td>A B C Db Eb Fb Gb^ Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">31334233<br />
</td>
        <td style="text-align: center;">1|6 ^6<br />
</td>
        <td>A B Cb Db Eb Fb^ Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">13342333<br />
</td>
        <td style="text-align: center;">0|7 ^5<br />
</td>
        <td>A Bb Cb Db Eb^ Fb Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
</table>

<br />
<strong>MODMOS with 5th note in generator chain sharpened</strong><br />


<table class="wiki_table">
    <tr>
        <td style="text-align: center;">Step Pattern<br />
</td>
        <td style="text-align: center;">UDP Name<br />
</td>
        <td>Spelling<br />
</td>
        <td style="text-align: center;">Other Notes<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33342331<br />
</td>
        <td style="text-align: center;">7|0 ^5<br />
</td>
        <td>A B C D E^ F G H<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33423313<br />
</td>
        <td style="text-align: center;">6|1^4<br />
</td>
        <td>A B C D^ E F G Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">34233133<br />
</td>
        <td style="text-align: center;">5|2 ^3<br />
</td>
        <td>A B C^ D E F Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">42331333<br />
</td>
        <td style="text-align: center;">4|3 ^2<br />
</td>
        <td>A B^ C D E Fb Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">23313334<br />
</td>
        <td style="text-align: center;">3|4 v2v3v4v5v6v7v8<br />
</td>
        <td>A Bv Cv Dv Ebv Fbv Gbv Hbv<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33133342<br />
</td>
        <td style="text-align: center;">2|5 ^8<br />
</td>
        <td>A B C Db Eb Fb Gb Hb^<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">31333423<br />
</td>
        <td style="text-align: center;">1|6 ^7<br />
</td>
        <td>A B Cb Db Eb Fb Gb^ Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">13334233<br />
</td>
        <td style="text-align: center;">0|7 ^6<br />
</td>
        <td>A Bb Cb Db Eb Fb^ Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
</table>

<br />
<strong>MODMOS with 6th note in generator chain sharpened</strong><br />


<table class="wiki_table">
    <tr>
        <td style="text-align: center;">Step Pattern<br />
</td>
        <td style="text-align: center;">UDP Name<br />
</td>
        <td>Spelling<br />
</td>
        <td style="text-align: center;">Other Notes<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33334231<br />
</td>
        <td style="text-align: center;">7|0 ^6<br />
</td>
        <td>A B C D E F^ G H<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33342313<br />
</td>
        <td style="text-align: center;">6|1 ^5<br />
</td>
        <td>A B C D E^ F G Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33423133<br />
</td>
        <td style="text-align: center;">5|2 ^4<br />
</td>
        <td>A B C D^ E F Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">34231333<br />
</td>
        <td style="text-align: center;">4|3 ^3<br />
</td>
        <td>A B C^ D E Fb Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">42313333<br />
</td>
        <td style="text-align: center;">3|4 ^2<br />
</td>
        <td>A B^ C D Eb Fb Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">23133334<br />
</td>
        <td style="text-align: center;">2|5 v2v3v4v5v6v7v8<br />
</td>
        <td>A Bv Cv Dbv Ebv Fbv Gbv Hbv<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">31333342<br />
</td>
        <td style="text-align: center;">1|6 ^8<br />
</td>
        <td>A B Cb Db Eb Fb Gb Hb^<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">13333423<br />
</td>
        <td style="text-align: center;">0|7 ^7<br />
</td>
        <td>A Bb Cb Db Eb Fb Gb^ Hb<br />
</td>
        <td><br />
</td>
    </tr>
</table>

<br />
<strong>MODMOS with 7th note in generator chain sharpened</strong><br />


<table class="wiki_table">
    <tr>
        <td style="text-align: center;">Step Pattern<br />
</td>
        <td style="text-align: center;">UDP Name<br />
</td>
        <td>Spelling<br />
</td>
        <td style="text-align: center;">Other Notes<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33333421<br />
</td>
        <td style="text-align: center;">7|0 ^7<br />
</td>
        <td>A B C D E F G^ H<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33334213<br />
</td>
        <td style="text-align: center;">6|1 ^6<br />
</td>
        <td>A B C D E F^ G Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33342133<br />
</td>
        <td style="text-align: center;">5|2 ^5<br />
</td>
        <td>A B C D E^ F Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">33421333<br />
</td>
        <td style="text-align: center;">4|3 ^4<br />
</td>
        <td>A B C D^ E Fb Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">34213333<br />
</td>
        <td style="text-align: center;">3|4 ^3<br />
</td>
        <td>A B C^ D Eb Fb Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">42133333<br />
</td>
        <td style="text-align: center;">2|5 ^2<br />
</td>
        <td>A B^ C Db Eb Fb Gb Hb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">21333334<br />
</td>
        <td style="text-align: center;">1|6 v2v3v4v5v6v7v8<br />
</td>
        <td>A Bv Cbv Dbv Ebv Fbv Gbv Hbv<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">13333342<br />
</td>
        <td style="text-align: center;">0|7 ^8<br />
</td>
        <td>A Bb Cb Db Eb Fb Gb Hb^<br />
</td>
        <td><br />
</td>
    </tr>
</table>

</body></html>