Porcupine temperament modal harmony
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[[toc]] =Intro To [[Porcupine]]= We need an intro =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= Just summarize everything on Andrew H's page here =Porcupine[7] and its MODMOS's= 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 || A B^ C^ D^ E^ F^ G^ || I iiº iiiº ivº v vi VII ||= Bright, otonal major (VII chord is major) || ||= 3433333 ||= 2322222 ||= 5|1 || A B C^ D^ E^ F^ G^ || I II iiiº ivº vº vi vii ||= Darker major (vii is minor) || ||= 3343333 ||= 2232222 ||= 4|2 || A B C D^ E^ F^ G^ || i II III ivº vº viº vii ||= Bright minor (II is major) || ||= 3334333 ||= 2223222 ||= 3|3 || A B C D E^ F^ G^ || i ii III IV vº viº viiº ||= Symmetric minor (ii is minor) || ||= 3333433 ||= 2222322 ||= 2|4 || A B C D E F^ G^ || iº ii iii IV V viº viiº ||= Diminished || ||= 3333343 ||= 2222232 ||= 1|5 || A B C D E F G^ || iº iiº iii iv V VI viiº ||= Diminished || ||= 3333334 ||= 2222223 ||= 0|6 || A B C D E F G || 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 || A B^^ C^^ D^^ E^^ F^^ G^^ ||= || ||= 2533333 ||= 1422222 ||= 5|1 v2 || A Bv C^ D^ E^ F^ G^ ||= || ||= 3253333 ||= 2142222 ||= 4|2 v3 || A B Cv D^ E^ F^ G^ ||= || ||= 3325333 ||= 2214222 ||= 3|3 v4 || A B C Dv E^ F^ G^ ||= || ||= 3332533 ||= 2221422 ||= 2|4 v5 || A B C D Ev F^ G^ ||= || ||= 3333253 ||= 2222142 ||= 1|5 v6 || A B C D F Fv G^ ||= || ||= 3333325 ||= 2222214 ||= 0|6 v7 || A B C D E F Gv ||= || **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 || A B^ C^ D^ E^ F^ G ||= || ||= 4433332 ||= 3322221 ||= 6|0 ^3^4^5^6^7 || A B^ C^^ D^^ E^^ F^^ G^^ ||= || ||= 2443333 ||= 1332222 ||= 4|2 v2 || A Bv C^ D^ E^ F^ G^ ||= || ||= 3244333 ||= 2133222 ||= 3|3 v3 || A B Cv D E^ F^ G^ ||= || ||= 3324433 ||= 2213322 ||= 2|4 v4 || A B C Dv E F^ G^ ||= || ||= 3332443 ||= 2221332 ||= 1|5 v5 || A B C D Ev F G^ ||= || ||= 3333244 ||= 2222133 ||= 0|6 v6 || A B C D E Fv G ||= || **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 || A B^ C^ D^ E^ F G^ ||= || ||= 3433324 ||= 2322213 ||= 5|1 v7 || A B C^ D^ E^ F^ G ||= || ||= 4343332 ||= 3232221 ||= 6|0 ^4^5^6^7 || A B^ C^ D^^ E^^ F^^ G^^ ||= || ||= 2434333 ||= 1323222 ||= 3|3 v2 || A Bv C D E^ F^ G^ ||= || ||= 3243433 ||= 2132322 ||= 2|4 v3 || A B Cv D E F^ G^ ||= || ||= 3324343 ||= 2213232 ||= 1|5 v4 || A B C Dv E F G^ ||= || ||= 3332434 ||= 2221323 ||= 0|6 v5 || A B C D Ev F G ||= || **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 || A B^ C^ D^ E F^ G^ ||= || ||= 3433243 ||= 2322132 ||= 5|1 v6 || A B C^ D^ E^ F G^ ||= || ||= 3343324 ||= 2232213 ||= 4|2 v7 || A B C D^ E^ F^ G ||= || ||= 4334332 ||= 3223221 ||= 6|0 ^5^6^7 || A B^ C^ D^ E^^ F^^ G^^ ||= || ||= 2433433 ||= 1322322 ||= 2|4 v2 || A Bv C D E F^ G^ ||= || ||= 3243343 ||= 2132232 ||= 1|5 v3 || A B Cv D E F G^ ||= || ||= 3324334 ||= 2213223 ||= 0|6 v4 || A B C Dv E F G ||= || <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 || A B^ C^ D E^ F^ G^ ||= I, IV, v, vi "mixolydian-like"* || ||= 3432433 ||= 2321322 ||= 5|1 v5 || A B C^ D^ E F^ G^ ||= || ||= 3343243 ||= 2232132 ||= 4|2 v6 || A B C D^ E^ F G^ ||= i, III, VI, vii || ||= 3334324 ||= 2223213 ||= 3|3 v7 || A B C D E^ F^ G ||= i, ii, IV, VII "dorian-like" || ||= 4333432 ||= 3222321 ||= 6|0 ^6^7 || A B^ C^ D^ E^ F^^ G^^ ||= I, ii, iii, V "ionian-like" || ||= 2433343 ||= 1322232 ||= 1|5 v2 || A Bv C D E F G^ ||= || ||= 3243334 ||= 2132223 ||= 0|6 v3 || A B Cv D E F G ||= || * 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 b1) || A B^ C^ D^ E^ F^ G^^ ||= Major with major V chord (most major-sounding major) || ||= 2433334 ||= 1322223 ||= (5|1 ^1) ||= 0|6 b2 || A Bv C D E F G ||= Magical seventh || ||= 4243333 ||= 3132222 ||= 4|2 ^2 ||= 6|0 b3 || A B^ C D^ E^ F^ G^ ||= Minor with minor v chord (most minor-sounding minor) || ||= 3424333 ||= 2313222 ||= 3|3 ^3 ||= 5|1 b4 || A B C^ D E^ F^ G^ ||= Major with major IV chord || ||= 3342433 ||= 2231322 ||= 2|4 ^4 ||= 4|2 b5 || A B C D^ E F^ G^ ||= Symmetric diminished || ||= 3334243 ||= 2223132 ||= 1|5 ^5 ||= 3|3 b6 || A B C D E^ F G^ ||= Minor with minor vi || ||= 3333424 ||= 2222313 ||= 0|6 ^6 ||= 2|4 b7 || A B C D E F^ G ||= 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 || A B^ C^ D^ E^ F^^ G^ ||= I, ii, v, VII "mixolydian-like" || ||= 3433342 ||= 2322231 ||= 5|1 ^7 || A B C^ D^ E^ F^ G^^ ||= I, II, iii, vi || ||= 2343334 ||= 1232223 ||= 0|6 v2 v3 || A Bv Cv D E F G ||= || ||= 4234333 ||= 3123222 ||= 3|3 ^2 || A B^ C D E^ F^ G^ ||= 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 || A B C^ D E F^ G^ ||= || ||= 3342343 ||= 2231232 ||= 1|5 ^4 || A B C D^ E F G^ ||= || ||= 3334234 ||= 2223123 ||= 0|6 ^5 || A B C D E^ F G ||= 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 || A B^ C^ D^^ E^ F^ G^ ||= || ||= 3433423 ||= 2322312 ||= 5|1 ^6 || A B C^ D^ E^ F^^ G^ ||= || ||= 3343342 ||= 2232231 ||= 4|2 ^7 || A B C D^ E^ F^ G^^ ||= || ||= 2334334 ||= 1223223 ||= 0|6 v2v3v4 || A Bv Cv Dv E F G ||= || ||= 4233433 ||= 3122322 ||= 2|4 ^2 || A B^ C D E F^ G^ ||= || ||= 3423343 ||= 2312232 ||= 1|5 ^3 || A B C^ D E F G^ ||= || ||= 3342334 ||= 2231223 ||= 0|6 ^4 || A B C D^ E F G ||= || **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 || A B^ C^ D^^ E^ F^ G^ ||= || ||= 3434233 ||= 2323122 ||= 5|1 ^5 || A B C^ D^ E^^ F^ G^ ||= || ||= 3343423 ||= 2232312 ||= 4|2 ^6 || A B C D^ E^ F^^ G^ ||= || ||= 3334342 ||= 2223231 ||= 3|3 ^7 || A B C D E^ F^ G^^ ||= || ||= 2333434 ||= 1222323 ||= 0|6 v2v3v4v5 || A Bv Cv Dv Ev F G ||= || ||= 4233343 ||= 3122232 ||= 1|5 ^2 || A B^ C D E F G^ ||= || ||= 3423334 ||= 2312223 ||= 0|6 ^3 || A B C^ D E F G ||= || **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 || A B^ C^^ D^ E^ F^ G^ ||= || ||= 3442333 ||= 2331222 ||= 5|1 ^4 || A B C^ D^^ E^ F^ G^ ||= || ||= 3344233 ||= 2233122 ||= 4|2 ^5 || A B C D^ E^^ F^ G^ ||= || ||= 3334423 ||= 2223312 ||= 3|3 ^6 || A B C D E^ F^^ G^ ||= || ||= 3333442 ||= 2222331 ||= 2|4 ^7 || A B C D E F^ G^^ ||= || ||= 2333344 ||= 1222233 ||= 0|6 v2v3v4v5v6 || A Bv Cv Dv Ev Fv G ||= || ||= 4233334 ||= 3122223 ||= 0|6 #2 || A B^ C D E F G ||= || **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 || A B^^ C D E F G ||= || ||= 3523333 ||= 2412222 ||= 5|1 ^3 || A B C^^ D^ E^ F^ G^ ||= || ||= 3352333 ||= 2241222 ||= 4|2 ^4 || A B C D^^ E^ F^ G^ ||= || ||= 3335233 ||= 2224122 ||= 3|3 ^5 || A B C D E^^ F^ G^ ||= || ||= 3333523 ||= 2222412 ||= 2|4 ^6 || A B C D E F^^ G^ ||= || ||= 3333352 ||= 2222241 ||= 1|5 ^7 || A B C D E F G^^ ||= || ||= 2333335 ||= 1222224 ||= 0|6 v2v3v4v5v6v7 || A Bv Cv Dv Ev Fv Gv ||= || ==Notable double-alteration MODMOS's== ||= 22edo Steps ||= 15edo Steps ||= UDP Name || Spelling ||= Other Notes || ||= 4324342 ||= 3213231 ||= 6|0 v4 ^7 || A B^ C^ D E^ F^ G^^ || "JI Major" scale a.k.a. Ptolemy/Zarlino || ||= 4234243 ||= 3123132 ||= 3|3 ^2 v6 || A B^ C D E^ F G^ || "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:<img id="wikitext@@toc@@normal" class="WikiMedia WikiMediaToc" title="Table of Contents" src="/site/embedthumbnail/toc/normal?w=225&h=100"/> --><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 MODMOS's">Porcupine[7] and its MODMOS's</a></div>
<!-- ws:end:WikiTextTocRule:28 --><!-- ws:start:WikiTextTocRule:29: --><div style="margin-left: 2em;"><a href="#Porcupine[7] and its MODMOS's-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 MODMOS's-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 MODMOS's-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:<h1> --><h1 id="toc0"><a name="Intro To Porcupine"></a><!-- ws:end:WikiTextHeadingRule:0 -->Intro To <a class="wiki_link" href="/Porcupine">Porcupine</a></h1>
We need an intro<br />
<!-- ws:start:WikiTextHeadingRule:2:<h1> --><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:<h1> --><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>
Just summarize everything on Andrew H's page here<br />
<br />
<!-- ws:start:WikiTextHeadingRule:6:<h1> --><h1 id="toc3"><a name="Porcupine[7] and its MODMOS's"></a><!-- ws:end:WikiTextHeadingRule:6 -->Porcupine[7] and its MODMOS's</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:<h2> --><h2 id="toc4"><a name="Porcupine[7] and its MODMOS's-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>A B^ C^ D^ E^ F^ G^<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>A B C^ D^ E^ F^ G^<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>A B C D^ E^ F^ G^<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>A B C D E^ F^ G^<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>A B C D E F^ G^<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>A B C D E F G^<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>A B C D E F G<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:<h2> --><h2 id="toc5"><a name="Porcupine[7] and its MODMOS's-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>A B^^ C^^ D^^ E^^ F^^ G^^<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>A Bv C^ D^ E^ F^ G^<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>A B Cv D^ E^ F^ G^<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>A B C Dv E^ F^ G^<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>A B C D Ev F^ G^<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>A B C D F Fv G^<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>A B C D E F Gv<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>A B^ C^ D^ E^ F^ G<br />
</td>
<td style="text-align: center;"><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>A B^ C^^ D^^ E^^ F^^ G^^<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>A Bv C^ D^ E^ F^ G^<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>A B Cv D E^ F^ G^<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>A B C Dv E F^ G^<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>A B C D Ev F G^<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>A B C D E Fv G<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>A B^ C^ D^ E^ F G^<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>A B C^ D^ E^ F^ G<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>A B^ C^ D^^ E^^ F^^ G^^<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>A Bv C D E^ F^ G^<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>A B Cv D E F^ G^<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>A B C Dv E F G^<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>A B C D Ev F G<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>A B^ C^ D^ E F^ G^<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>A B C^ D^ E^ F G^<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>A B C D^ E^ F^ G<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>A B^ C^ D^ E^^ F^^ G^^<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>A Bv C D E F^ G^<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>A B Cv D E F G^<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>A B C Dv E F G<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>A B^ C^ D E^ F^ G^<br />
</td>
<td style="text-align: center;">I, IV, v, vi "mixolydian-like"*<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>A B C^ D^ E F^ G^<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>A B C D^ E^ F G^<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>A B C D E^ F^ G<br />
</td>
<td style="text-align: center;">i, ii, IV, VII "dorian-like"<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>A B^ C^ D^ E^ F^^ G^^<br />
</td>
<td style="text-align: center;">I, ii, iii, V "ionian-like"<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>A Bv C D E F G^<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>A B Cv D E F G<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 "mixolydian", "dorian", 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 b1)<br />
</td>
<td>A B^ C^ D^ E^ F^ G^^<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 b2<br />
</td>
<td>A Bv C D E F G<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 b3<br />
</td>
<td>A B^ C D^ E^ F^ G^<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 b4<br />
</td>
<td>A B C^ D E^ F^ G^<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 b5<br />
</td>
<td>A B C D^ E F^ G^<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 b6<br />
</td>
<td>A B C D E^ F G^<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 b7<br />
</td>
<td>A B C D E F^ G<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>A B^ C^ D^ E^ F^^ G^<br />
</td>
<td style="text-align: center;">I, ii, v, VII "mixolydian-like"<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>A B C^ D^ E^ F^ G^^<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>A Bv Cv D E F G<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>A B^ C D E^ F^ G^<br />
</td>
<td style="text-align: center;">i, III, IV, v "dorian-like"<br />
Keenan finds this one exceptionally beautiful<br />
and suggests it as a candidate for default "minor"<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>A B C^ D E F^ G^<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>A B C D^ E F G^<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>A B C D E^ F G<br />
</td>
<td style="text-align: center;">i, iv, VI, VII "aeolian-like"<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>A B^ C^ D^^ E^ F^ G^<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>A B C^ D^ E^ F^^ G^<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>A B C D^ E^ F^ G^^<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>A Bv Cv Dv E F G<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>A B^ C D E F^ G^<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>A B C^ D E F G^<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>A B C D^ E F G<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>A B^ C^ D^^ E^ F^ G^<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>A B C^ D^ E^^ F^ G^<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>A B C D^ E^ F^^ G^<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>A B C D E^ F^ G^^<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>A Bv Cv Dv Ev F G<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>A B^ C D E F G^<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>A B C^ D E F G<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>A B^ C^^ D^ E^ F^ G^<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>A B C^ D^^ E^ F^ G^<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>A B C D^ E^^ F^ G^<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>A B C D E^ F^^ G^<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>A B C D E F^ G^^<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>A Bv Cv Dv Ev Fv G<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>A B^ C D E F G<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>A B^^ C D E F G<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>A B C^^ D^ E^ F^ G^<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>A B C D^^ E^ F^ G^<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>A B C D E^^ F^ G^<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>A B C D E F^^ G^<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>A B C D E F G^^<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>A Bv Cv Dv Ev Fv Gv<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
</table>
<br />
<!-- ws:start:WikiTextHeadingRule:12:<h2> --><h2 id="toc6"><a name="Porcupine[7] and its MODMOS's-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>A B^ C^ D E^ F^ G^^<br />
</td>
<td>"JI Major" 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>A B^ C D E^ F G^<br />
</td>
<td>"JI Minor" scale<br />
</td>
</tr>
</table>
<br />
<!-- ws:start:WikiTextHeadingRule:14:<h1> --><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:<h2> --><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:<h2> --><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:<h3> --><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:<h3> --><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>