Porcupine temperament modal harmony: Difference between revisions
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Wikispaces>keenanpepper **Imported revision 399656640 - Original comment: ** |
Wikispaces>igliashon **Imported revision 413860408 - Original comment: ** |
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<h2>IMPORTED REVISION FROM WIKISPACES</h2> | <h2>IMPORTED REVISION FROM WIKISPACES</h2> | ||
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | ||
: This revision was by author [[User: | : This revision was by author [[User:igliashon|igliashon]] and made on <tt>2013-03-11 11:18:46 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>413860408</tt>.<br> | ||
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The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | ||
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==**The Porcupine[7] MOS**== | ==**The Porcupine[7] MOS**== | ||
||= Step Pattern | ||= 22edo Step Pattern ||= 15edo Step Pattern ||= UDP Name || Spelling || Triad Qualities ||= Other Notes || | ||
||= 4333333 ||= 6|0 || A B^ C^ D^ E^ F^ G^ || I iiº iiiº ivº v vi VII ||= Bright, otonal major (VII chord is major) || | ||= 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 ||= 5|1 || A B C^ D^ E^ F^ G^ || I II iiiº ivº vº vi vii ||= Darker major (vii is minor) || | ||= 3433333 ||= 2322222 ||= 5|1 || A B C^ D^ E^ F^ G^ || I II iiiº ivº vº vi vii ||= Darker major (vii is minor) || | ||
||= 3343333 ||= 4|2 || A B C D^ E^ F^ G^ || i II III ivº vº viº vii ||= Bright minor (II is major) || | ||= 3343333 ||= 2232222 ||= 4|2 || A B C D^ E^ F^ G^ || i II III ivº vº viº vii ||= Bright minor (II is major) || | ||
||= 3334333 ||= 3|3 || A B C D E^ F^ G^ || i ii III IV vº viº viiº ||= Symmetric minor (ii is minor) || | ||= 3334333 ||= 2223222 ||= 3|3 || A B C D E^ F^ G^ || i ii III IV vº viº viiº ||= Symmetric minor (ii is minor) || | ||
||= 3333433 ||= 2|4 || A B C D E F^ G^ || iº ii iii IV V viº viiº ||= Diminished || | ||= 3333433 ||= 2222322 ||= 2|4 || A B C D E F^ G^ || iº ii iii IV V viº viiº ||= Diminished || | ||
||= 3333343 ||= 1|5 || A B C D E F G^ || iº iiº iii iv V VI viiº ||= Diminished || | ||= 3333343 ||= 2222232 ||= 1|5 || A B C D E F G^ || iº iiº iii iv V VI viiº ||= Diminished || | ||
||= 3333334 ||= 0|6 || A B C D E F G || iº iiº iiiº iv v VI VII ||= [[magical seventh chord|Magical seventh]] mode || | ||= 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== | ==Single-alteration MODMOS's== | ||
**MODMOS with 1st note in generator chain flattened: #.......######** | **MODMOS with 1st note in generator chain flattened: #.......######** | ||
**Note: Contains a broken 4/3 chain so it has only 3 4/3s** | **Note: Contains a broken 4/3 chain so it has only 3 4/3s** | ||
||= | ||= 22edo Steps ||= 15edo Steps ||= UDP Name || Spelling ||= Other Notes || | ||
||= 5333332 ||= 6|0 ^2^3^4^5^6^7 || A B^^ C^^ D^^ E^^ F^^ G^^ ||= || | ||= 5333332 ||= 4222221 ||= 6|0 ^2^3^4^5^6^7 || A B^^ C^^ D^^ E^^ F^^ G^^ ||= || | ||
||= 2533333 ||= 5|1 v2 || A Bv C^ D^ E^ F^ G^ ||= || | ||= 2533333 ||= 1422222 ||= 5|1 v2 || A Bv C^ D^ E^ F^ G^ ||= || | ||
||= 3253333 ||= 4|2 v3 || A B Cv D^ E^ F^ G^ ||= || | ||= 3253333 ||= 2142222 ||= 4|2 v3 || A B Cv D^ E^ F^ G^ ||= || | ||
||= 3325333 ||= 3|3 v4 || A B C Dv E^ F^ G^ ||= || | ||= 3325333 ||= 2214222 ||= 3|3 v4 || A B C Dv E^ F^ G^ ||= || | ||
||= 3332533 ||= 2|4 v5 || A B C D Ev F^ G^ ||= || | ||= 3332533 ||= 2221422 ||= 2|4 v5 || A B C D Ev F^ G^ ||= || | ||
||= 3333253 ||= 1|5 v6 || A B C D F Fv G^ ||= || | ||= 3333253 ||= 2222142 ||= 1|5 v6 || A B C D F Fv G^ ||= || | ||
||= 3333325 ||= 0|6 v7 || A B C D E F Gv ||= || | ||= 3333325 ||= 2222214 ||= 0|6 v7 || A B C D E F Gv ||= || | ||
**MODMOS with 2nd note in generator chain flattened: #.....#.#####** | **MODMOS with 2nd note in generator chain flattened: #.....#.#####** | ||
**Note: Contains a broken 4/3 chain so it has only 3 4/3s** | **Note: Contains a broken 4/3 chain so it has only 3 4/3s** | ||
||= | ||= 22edo Steps ||= 15edo Steps ||= UDP Name || Spelling ||= Other Notes || | ||
||= 4333324 ||= 6|0 v7 || A B^ C^ D^ E^ F^ G ||= || | ||= 4333324 ||= 3222213 ||= 6|0 v7 || A B^ C^ D^ E^ F^ G ||= || | ||
||= 4433332 ||= 6|0 ^3^4^5^6^7 || A B^ C^^ D^^ E^^ F^^ G^^ ||= || | ||= 4433332 ||= 3322221 ||= 6|0 ^3^4^5^6^7 || A B^ C^^ D^^ E^^ F^^ G^^ ||= || | ||
||= 2443333 ||= 4|2 v2 || A Bv C^ D^ E^ F^ G^ ||= || | ||= 2443333 ||= 1332222 ||= 4|2 v2 || A Bv C^ D^ E^ F^ G^ ||= || | ||
||= 3244333 ||= 3|3 v3 || A B Cv D E^ F^ G^ ||= || | ||= 3244333 ||= 2133222 ||= 3|3 v3 || A B Cv D E^ F^ G^ ||= || | ||
||= 3324433 ||= 2|4 v4 || A B C Dv E F^ G^ ||= || | ||= 3324433 ||= 2213322 ||= 2|4 v4 || A B C Dv E F^ G^ ||= || | ||
||= 3332443 ||= 1|5 v5 || A B C D Ev F G^ ||= || | ||= 3332443 ||= 2221332 ||= 1|5 v5 || A B C D Ev F G^ ||= || | ||
||= 3333244 ||= 0|6 v6 || A B C D E Fv G ||= || | ||= 3333244 ||= 2222133 ||= 0|6 v6 || A B C D E Fv G ||= || | ||
**MODMOS with 3rd note in generator chain flattened: #....##.####** | **MODMOS with 3rd note in generator chain flattened: #....##.####** | ||
**Note: Contains a broken 4/3 chain so it has only 3 4/3s** | **Note: Contains a broken 4/3 chain so it has only 3 4/3s** | ||
||= | ||= 22edo Steps ||= 15edo Steps ||= UDP Name || Spelling ||= Other Notes || | ||
||= 4333243 ||= 6|0 v6 || A B^ C^ D^ E^ F G^ ||= || | ||= 4333243 ||= 3222132 ||= 6|0 v6 || A B^ C^ D^ E^ F G^ ||= || | ||
||= 3433324 ||= 5|1 v7 || A B C^ D^ E^ F^ G ||= || | ||= 3433324 ||= 2322213 ||= 5|1 v7 || A B C^ D^ E^ F^ G ||= || | ||
||= 4343332 ||= 6|0 ^4^5^6^7 || A B^ C^ D^^ E^^ F^^ G^^ ||= || | ||= 4343332 ||= 3232221 ||= 6|0 ^4^5^6^7 || A B^ C^ D^^ E^^ F^^ G^^ ||= || | ||
||= 2434333 ||= 3|3 v2 || A Bv C D E^ F^ G^ ||= || | ||= 2434333 ||= 1323222 ||= 3|3 v2 || A Bv C D E^ F^ G^ ||= || | ||
||= 3243433 ||= 2|4 v3 || A B Cv D E F^ G^ ||= || | ||= 3243433 ||= 2132322 ||= 2|4 v3 || A B Cv D E F^ G^ ||= || | ||
||= 3324343 ||= 1|5 v4 || A B C Dv E F G^ ||= || | ||= 3324343 ||= 2213232 ||= 1|5 v4 || A B C Dv E F G^ ||= || | ||
||= 3332434 ||= 0|6 v5 || A B C D Ev F G ||= || | ||= 3332434 ||= 2221323 ||= 0|6 v5 || A B C D Ev F G ||= || | ||
**MODMOS with 4th note in generator chain flattened: #...###.###** | **MODMOS with 4th note in generator chain flattened: #...###.###** | ||
**Note: Contains a broken 4/3 chain so it has only 3 4/3s** | **Note: Contains a broken 4/3 chain so it has only 3 4/3s** | ||
||= | ||= 22edo Steps ||= 15edo Steps ||= UDP Name || Spelling ||= Other Notes || | ||
||= 4332433 ||= 6|0 v5 || A B^ C^ D^ E F^ G^ ||= || | ||= 4332433 ||= 3221322 ||= 6|0 v5 || A B^ C^ D^ E F^ G^ ||= || | ||
||= 3433243 ||= 5|1 v6 || A B C^ D^ E^ F G^ ||= || | ||= 3433243 ||= 2322132 ||= 5|1 v6 || A B C^ D^ E^ F G^ ||= || | ||
||= 3343324 ||= 4|2 v7 || A B C D^ E^ F^ G ||= || | ||= 3343324 ||= 2232213 ||= 4|2 v7 || A B C D^ E^ F^ G ||= || | ||
||= 4334332 ||= 6|0 ^5^6^7 || A B^ C^ D^ E^^ F^^ G^^ ||= || | ||= 4334332 ||= 3223221 ||= 6|0 ^5^6^7 || A B^ C^ D^ E^^ F^^ G^^ ||= || | ||
||= 2433433 ||= 2|4 v2 || A Bv C D E F^ G^ ||= || | ||= 2433433 ||= 1322322 ||= 2|4 v2 || A Bv C D E F^ G^ ||= || | ||
||= 3243343 ||= 1|5 v3 || A B Cv D E F G^ ||= || | ||= 3243343 ||= 2132232 ||= 1|5 v3 || A B Cv D E F G^ ||= || | ||
||= 3324334 ||= 0|6 v4 || A B C Dv 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> | <span style="color: #0000ff;">**MODMOS with 5th note in generator chain flattened: #..####.##**</span> | ||
**Consists of unbroken chains of 4/3s** | **Consists of unbroken chains of 4/3s** | ||
||= | ||= 22edo Steps ||= 15edo Steps ||= UDP Name || Spelling ||= Other Notes || | ||
||= 4324333 ||= 6|0 v4 || A B^ C^ D E^ F^ G^ ||= I, IV, v, vi "mixolydian-like"* || | ||= 4324333 ||= 3213222 ||= 6|0 v4 || A B^ C^ D E^ F^ G^ ||= I, IV, v, vi "mixolydian-like"* || | ||
||= 3432433 ||= 5|1 v5 || A B C^ D^ E F^ G^ ||= || | ||= 3432433 ||= 2321322 ||= 5|1 v5 || A B C^ D^ E F^ G^ ||= || | ||
||= 3343243 ||= 4|2 v6 || A B C D^ E^ F G^ ||= i, III, VI, vii || | ||= 3343243 ||= 2232132 ||= 4|2 v6 || A B C D^ E^ F G^ ||= i, III, VI, vii || | ||
||= 3334324 ||= 3|3 v7 || A B C D E^ F^ G ||= i, ii, IV, VII "dorian-like" || | ||= 3334324 ||= 2223213 ||= 3|3 v7 || A B C D E^ F^ G ||= i, ii, IV, VII "dorian-like" || | ||
||= 4333432 ||= 6|0 ^6^7 || A B^ C^ D^ E^ F^^ G^^ ||= I, ii, iii, V "ionian-like" || | ||= 4333432 ||= 3222321 ||= 6|0 ^6^7 || A B^ C^ D^ E^ F^^ G^^ ||= I, ii, iii, V "ionian-like" || | ||
||= 2433343 ||= 1|5 v2 || A Bv C D E F G^ ||= || | ||= 2433343 ||= 1322232 ||= 1|5 v2 || A Bv C D E F G^ ||= || | ||
||= 3243334 ||= 0|6 v3 || A B Cv 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. | * 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> | <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** | **Consists of unbroken chains of 4/3s** | ||
||= | ||= 22edo Steps ||= 15edo Steps ||= UDP Name #1 ||= UDP Name #2 || Spelling ||= Other Notes || | ||
||= 4333342 ||= 6|0 ^7 ||= (1|5 b1) || A B^ C^ D^ E^ F^ G^^ ||= Major with major V chord (most major-sounding major) || | ||= 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 ||= (5|1 ^1) ||= 0|6 b2 || A Bv C D E F G ||= Magical seventh || | ||= 2433334 ||= 1322223 ||= (5|1 ^1) ||= 0|6 b2 || A Bv C D E F G ||= Magical seventh || | ||
||= 4243333 ||= 4|2 ^2 ||= 6|0 b3 || A B^ C D^ E^ F^ G^ ||= Minor with minor v chord (most minor-sounding minor) || | ||= 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 ||= 3|3 ^3 ||= 5|1 b4 || A B C^ D E^ F^ G^ ||= Major with major IV chord || | ||= 3424333 ||= 2313222 ||= 3|3 ^3 ||= 5|1 b4 || A B C^ D E^ F^ G^ ||= Major with major IV chord || | ||
||= 3342433 ||= 2|4 ^4 ||= 4|2 b5 || A B C D^ E F^ G^ ||= Symmetric diminished || | ||= 3342433 ||= 2231322 ||= 2|4 ^4 ||= 4|2 b5 || A B C D^ E F^ G^ ||= Symmetric diminished || | ||
||= 3334243 ||= 1|5 ^5 ||= 3|3 b6 || A B C D E^ F G^ ||= Minor with minor vi || | ||= 3334243 ||= 2223132 ||= 1|5 ^5 ||= 3|3 b6 || A B C D E^ F G^ ||= Minor with minor vi || | ||
||= 3333424 ||= 0|6 ^6 ||= 2|4 b7 || A B C D E F^ G ||= Magical seventh || | ||= 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> | <span style="color: #0000ff;">**MODMOS with 3rd note in generator chain sharpened: ##.####..#**</span> | ||
**Consists of unbroken chains of 4/3s** | **Consists of unbroken chains of 4/3s** | ||
||= | ||= 22edo Steps ||= 15edo Steps ||= UDP Name || Spelling ||= Other Notes || | ||
||= 4333423 ||= 6|0 ^6 || A B^ C^ D^ E^ F^^ G^ ||= I, ii, v, VII "mixolydian-like" || | ||= 4333423 ||= 3222312 ||= 6|0 ^6 || A B^ C^ D^ E^ F^^ G^ ||= I, ii, v, VII "mixolydian-like" || | ||
||= 3433342 ||= 5|1 ^7 || A B C^ D^ E^ F^ G^^ ||= I, II, iii, vi || | ||= 3433342 ||= 2322231 ||= 5|1 ^7 || A B C^ D^ E^ F^ G^^ ||= I, II, iii, vi || | ||
||= 2343334 ||= 0|6 v2 v3 || A Bv Cv D E F G ||= || | ||= 2343334 ||= 1232223 ||= 0|6 v2 v3 || A Bv Cv D E F G ||= || | ||
||= 4234333 ||= 3|3 ^2 || A B^ C D E^ F^ G^ ||= i, III, IV, v "dorian-like" | ||= 4234333 ||= 3123222 ||= 3|3 ^2 || A B^ C D E^ F^ G^ ||= i, III, IV, v "dorian-like" | ||
Keenan finds this one exceptionally beautiful | Keenan finds this one exceptionally beautiful | ||
and suggests it as a candidate for default "minor" || | and suggests it as a candidate for default "minor" || | ||
||= 3423433 ||= 2|4 ^3 || A B C^ D E F^ G^ ||= || | ||= 3423433 ||= 2312322 ||= 2|4 ^3 || A B C^ D E F^ G^ ||= || | ||
||= 3342343 ||= 1|5 ^4 || A B C D^ E F G^ ||= || | ||= 3342343 ||= 2231232 ||= 1|5 ^4 || A B C D^ E F G^ ||= || | ||
||= 3334234 ||= 0|6 ^5 || A B C D E^ F G ||= i, iv, VI, VII "aeolian-like" || | ||= 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: ###.###...#** | **MODMOS with 4th note in generator chain sharpened: ###.###...#** | ||
**Note: Contains a broken 4/3 chain so it has only 3 4/3s** | **Note: Contains a broken 4/3 chain so it has only 3 4/3s** | ||
||= | ||= 22edo Steps ||= 15edo Steps ||= UDP Name || Spelling ||= Other Notes || | ||
||= 4334233 ||= 6|0 ^5 || A B^ C^ D^^ E^ F^ G^ ||= || | ||= 4334233 ||= 3223122 ||= 6|0 ^5 || A B^ C^ D^^ E^ F^ G^ ||= || | ||
||= 3433423 ||= 5|1 ^6 || A B C^ D^ E^ F^^ G^ ||= || | ||= 3433423 ||= 2322312 ||= 5|1 ^6 || A B C^ D^ E^ F^^ G^ ||= || | ||
||= 3343342 ||= 4|2 ^7 || A B C D^ E^ F^ G^^ ||= || | ||= 3343342 ||= 2232231 ||= 4|2 ^7 || A B C D^ E^ F^ G^^ ||= || | ||
||= 2334334 ||= 0|6 v2v3v4 || A Bv Cv Dv E F G ||= || | ||= 2334334 ||= 1223223 ||= 0|6 v2v3v4 || A Bv Cv Dv E F G ||= || | ||
||= 4233433 ||= 2|4 ^2 || A B^ C D E F^ G^ ||= || | ||= 4233433 ||= 3122322 ||= 2|4 ^2 || A B^ C D E F^ G^ ||= || | ||
||= 3423343 ||= 1|5 ^3 || A B C^ D E F G^ ||= || | ||= 3423343 ||= 2312232 ||= 1|5 ^3 || A B C^ D E F G^ ||= || | ||
||= 3342334 ||= 0|6 ^4 || 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: ####.##....#** | **MODMOS with 5th note in generator chain sharpened: ####.##....#** | ||
**Note: Contains a broken 4/3 chain so it has only 3 4/3s** | **Note: Contains a broken 4/3 chain so it has only 3 4/3s** | ||
||= | ||= 22edo Steps ||= 15edo Steps ||= UDP Name || Spelling ||= Other Notes || | ||
||= 4342333 ||= 6|0 ^4 || A B^ C^ D^^ E^ F^ G^ ||= || | ||= 4342333 ||= 3231222 ||= 6|0 ^4 || A B^ C^ D^^ E^ F^ G^ ||= || | ||
||= 3434233 ||= 5|1 ^5 || A B C^ D^ E^^ F^ G^ ||= || | ||= 3434233 ||= 2323122 ||= 5|1 ^5 || A B C^ D^ E^^ F^ G^ ||= || | ||
||= 3343423 ||= 4|2 ^6 || A B C D^ E^ F^^ G^ ||= || | ||= 3343423 ||= 2232312 ||= 4|2 ^6 || A B C D^ E^ F^^ G^ ||= || | ||
||= 3334342 ||= 3|3 ^7 || A B C D E^ F^ G^^ ||= || | ||= 3334342 ||= 2223231 ||= 3|3 ^7 || A B C D E^ F^ G^^ ||= || | ||
||= 2333434 ||= 0|6 v2v3v4v5 || A Bv Cv Dv Ev F G ||= || | ||= 2333434 ||= 1222323 ||= 0|6 v2v3v4v5 || A Bv Cv Dv Ev F G ||= || | ||
||= 4233343 ||= 1|5 ^2 || A B^ C D E F G^ ||= || | ||= 4233343 ||= 3122232 ||= 1|5 ^2 || A B^ C D E F G^ ||= || | ||
||= 3423334 ||= 0|6 ^3 || 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: #####.#.....#** | **MODMOS with 6th note in generator chain sharpened: #####.#.....#** | ||
**Note: Contains a broken 4/3 chain so it has only 3 4/3s** | **Note: Contains a broken 4/3 chain so it has only 3 4/3s** | ||
||= | ||= 22edo Steps ||= 15edo Steps ||= UDP Name || Spelling ||= Other Notes || | ||
||= 4423333 ||= 6|0 ^3 || A B^ C^^ D^ E^ F^ G^ ||= || | ||= 4423333 ||= 3312222 ||= 6|0 ^3 || A B^ C^^ D^ E^ F^ G^ ||= || | ||
||= 3442333 ||= 5|1 ^4 || A B C^ D^^ E^ F^ G^ ||= || | ||= 3442333 ||= 2331222 ||= 5|1 ^4 || A B C^ D^^ E^ F^ G^ ||= || | ||
||= 3344233 ||= 4|2 ^5 || A B C D^ E^^ F^ G^ ||= || | ||= 3344233 ||= 2233122 ||= 4|2 ^5 || A B C D^ E^^ F^ G^ ||= || | ||
||= 3334423 ||= 3|3 ^6 || A B C D E^ F^^ G^ ||= || | ||= 3334423 ||= 2223312 ||= 3|3 ^6 || A B C D E^ F^^ G^ ||= || | ||
||= 3333442 ||= 2|4 ^7 || A B C D E F^ G^^ ||= || | ||= 3333442 ||= 2222331 ||= 2|4 ^7 || A B C D E F^ G^^ ||= || | ||
||= 2333344 ||= 0|6 v2v3v4v5v6 || A Bv Cv Dv Ev Fv G ||= || | ||= 2333344 ||= 1222233 ||= 0|6 v2v3v4v5v6 || A Bv Cv Dv Ev Fv G ||= || | ||
||= 4233334 ||= 0|6 #2 || A B^ C D E F G ||= || | ||= 4233334 ||= 3122223 ||= 0|6 #2 || A B^ C D E F G ||= || | ||
**MODMOS with 7th note in generator chain sharpened: ######.......#** | **MODMOS with 7th note in generator chain sharpened: ######.......#** | ||
**Note: Contains a broken 4/3 chain so it has only 3 4/3s** | **Note: Contains a broken 4/3 chain so it has only 3 4/3s** | ||
||= | ||= 22edo Steps ||= 15edo Steps ||= UDP Name || Spelling ||= Other Notes || | ||
||= 5233333 ||= 6|0 ^2 || A B^^ C D E F G ||= || | ||= 5233333 ||= 4122222 ||= 6|0 ^2 || A B^^ C D E F G ||= || | ||
||= 3523333 ||= 5|1 ^3 || A B C^^ D^ E^ F^ G^ ||= || | ||= 3523333 ||= 2412222 ||= 5|1 ^3 || A B C^^ D^ E^ F^ G^ ||= || | ||
||= 3352333 ||= 4|2 ^4 || A B C D^^ E^ F^ G^ ||= || | ||= 3352333 ||= 2241222 ||= 4|2 ^4 || A B C D^^ E^ F^ G^ ||= || | ||
||= 3335233 ||= 3|3 ^5 || A B C D E^^ F^ G^ ||= || | ||= 3335233 ||= 2224122 ||= 3|3 ^5 || A B C D E^^ F^ G^ ||= || | ||
||= 3333523 ||= 2|4 ^6 || A B C D E F^^ G^ ||= || | ||= 3333523 ||= 2222412 ||= 2|4 ^6 || A B C D E F^^ G^ ||= || | ||
||= 3333352 ||= 1|5 ^7 || A B C D E F G^^ ||= || | ||= 3333352 ||= 2222241 ||= 1|5 ^7 || A B C D E F G^^ ||= || | ||
||= 2333335 ||= 0|6 v2v3v4v5v6v7 || A Bv Cv Dv Ev Fv Gv ||= || | ||= 2333335 ||= 1222224 ||= 0|6 v2v3v4v5v6v7 || A Bv Cv Dv Ev Fv Gv ||= || | ||
==Notable double-alteration MODMOS's== | ==Notable double-alteration MODMOS's== | ||
||= | ||= 22edo Steps ||= 15edo Steps ||= UDP Name || Spelling ||= Other Notes || | ||
||= 4324342 ||= 6|0 v4 ^7 || A B^ C^ D E^ F^ G^^ || "JI Major" scale a.k.a. Ptolemy/Zarlino || | ||= 4324342 ||= 3213231 ||= 6|0 v4 ^7 || A B^ C^ D E^ F^ G^^ || "JI Major" scale a.k.a. Ptolemy/Zarlino || | ||
||= 4234243 ||= 3|3 ^2 v6 || A B^ C D E^ F G^ || "JI Minor" scale || | ||= 4234243 ||= 3123132 ||= 3|3 ^2 v6 || A B^ C D E^ F G^ || "JI Minor" scale || | ||
=Porcupine[8] and its MODMOS's= | =Porcupine[8] and its MODMOS's= | ||
| Line 480: | Line 480: | ||
<table class="wiki_table"> | <table class="wiki_table"> | ||
<tr> | <tr> | ||
<td style="text-align: center;">Step Pattern | <td style="text-align: center;">22edo Step Pattern<br /> | ||
</td> | |||
<td style="text-align: center;">15edo Step Pattern<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">UDP Name<br /> | <td style="text-align: center;">UDP Name<br /> | ||
| Line 493: | Line 495: | ||
<tr> | <tr> | ||
<td style="text-align: center;">4333333<br /> | <td style="text-align: center;">4333333<br /> | ||
</td> | |||
<td style="text-align: center;">3222222<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">6|0<br /> | <td style="text-align: center;">6|0<br /> | ||
| Line 505: | Line 509: | ||
<tr> | <tr> | ||
<td style="text-align: center;">3433333<br /> | <td style="text-align: center;">3433333<br /> | ||
</td> | |||
<td style="text-align: center;">2322222<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">5|1<br /> | <td style="text-align: center;">5|1<br /> | ||
| Line 517: | Line 523: | ||
<tr> | <tr> | ||
<td style="text-align: center;">3343333<br /> | <td style="text-align: center;">3343333<br /> | ||
</td> | |||
<td style="text-align: center;">2232222<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">4|2<br /> | <td style="text-align: center;">4|2<br /> | ||
| Line 529: | Line 537: | ||
<tr> | <tr> | ||
<td style="text-align: center;">3334333<br /> | <td style="text-align: center;">3334333<br /> | ||
</td> | |||
<td style="text-align: center;">2223222<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">3|3<br /> | <td style="text-align: center;">3|3<br /> | ||
| Line 541: | Line 551: | ||
<tr> | <tr> | ||
<td style="text-align: center;">3333433<br /> | <td style="text-align: center;">3333433<br /> | ||
</td> | |||
<td style="text-align: center;">2222322<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">2|4<br /> | <td style="text-align: center;">2|4<br /> | ||
| Line 553: | Line 565: | ||
<tr> | <tr> | ||
<td style="text-align: center;">3333343<br /> | <td style="text-align: center;">3333343<br /> | ||
</td> | |||
<td style="text-align: center;">2222232<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">1|5<br /> | <td style="text-align: center;">1|5<br /> | ||
| Line 565: | Line 579: | ||
<tr> | <tr> | ||
<td style="text-align: center;">3333334<br /> | <td style="text-align: center;">3333334<br /> | ||
</td> | |||
<td style="text-align: center;">2222223<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">0|6<br /> | <td style="text-align: center;">0|6<br /> | ||
| Line 585: | Line 601: | ||
<table class="wiki_table"> | <table class="wiki_table"> | ||
<tr> | <tr> | ||
<td style="text-align: center;"> | <td style="text-align: center;">22edo Steps<br /> | ||
</td> | |||
<td style="text-align: center;">15edo Steps<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">UDP Name<br /> | <td style="text-align: center;">UDP Name<br /> | ||
| Line 596: | Line 614: | ||
<tr> | <tr> | ||
<td style="text-align: center;">5333332<br /> | <td style="text-align: center;">5333332<br /> | ||
</td> | |||
<td style="text-align: center;">4222221<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">6|0 ^2^3^4^5^6^7<br /> | <td style="text-align: center;">6|0 ^2^3^4^5^6^7<br /> | ||
| Line 606: | Line 626: | ||
<tr> | <tr> | ||
<td style="text-align: center;">2533333<br /> | <td style="text-align: center;">2533333<br /> | ||
</td> | |||
<td style="text-align: center;">1422222<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">5|1 v2<br /> | <td style="text-align: center;">5|1 v2<br /> | ||
| Line 616: | Line 638: | ||
<tr> | <tr> | ||
<td style="text-align: center;">3253333<br /> | <td style="text-align: center;">3253333<br /> | ||
</td> | |||
<td style="text-align: center;">2142222<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">4|2 v3<br /> | <td style="text-align: center;">4|2 v3<br /> | ||
| Line 626: | Line 650: | ||
<tr> | <tr> | ||
<td style="text-align: center;">3325333<br /> | <td style="text-align: center;">3325333<br /> | ||
</td> | |||
<td style="text-align: center;">2214222<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">3|3 v4<br /> | <td style="text-align: center;">3|3 v4<br /> | ||
| Line 636: | Line 662: | ||
<tr> | <tr> | ||
<td style="text-align: center;">3332533<br /> | <td style="text-align: center;">3332533<br /> | ||
</td> | |||
<td style="text-align: center;">2221422<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">2|4 v5<br /> | <td style="text-align: center;">2|4 v5<br /> | ||
| Line 646: | Line 674: | ||
<tr> | <tr> | ||
<td style="text-align: center;">3333253<br /> | <td style="text-align: center;">3333253<br /> | ||
</td> | |||
<td style="text-align: center;">2222142<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">1|5 v6<br /> | <td style="text-align: center;">1|5 v6<br /> | ||
| Line 656: | Line 686: | ||
<tr> | <tr> | ||
<td style="text-align: center;">3333325<br /> | <td style="text-align: center;">3333325<br /> | ||
</td> | |||
<td style="text-align: center;">2222214<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">0|6 v7<br /> | <td style="text-align: center;">0|6 v7<br /> | ||
| Line 673: | Line 705: | ||
<table class="wiki_table"> | <table class="wiki_table"> | ||
<tr> | <tr> | ||
<td style="text-align: center;"> | <td style="text-align: center;">22edo Steps<br /> | ||
</td> | |||
<td style="text-align: center;">15edo Steps<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">UDP Name<br /> | <td style="text-align: center;">UDP Name<br /> | ||
| Line 684: | Line 718: | ||
<tr> | <tr> | ||
<td style="text-align: center;">4333324<br /> | <td style="text-align: center;">4333324<br /> | ||
</td> | |||
<td style="text-align: center;">3222213<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">6|0 v7<br /> | <td style="text-align: center;">6|0 v7<br /> | ||
| Line 694: | Line 730: | ||
<tr> | <tr> | ||
<td style="text-align: center;">4433332<br /> | <td style="text-align: center;">4433332<br /> | ||
</td> | |||
<td style="text-align: center;">3322221<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">6|0 ^3^4^5^6^7<br /> | <td style="text-align: center;">6|0 ^3^4^5^6^7<br /> | ||
| Line 704: | Line 742: | ||
<tr> | <tr> | ||
<td style="text-align: center;">2443333<br /> | <td style="text-align: center;">2443333<br /> | ||
</td> | |||
<td style="text-align: center;">1332222<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">4|2 v2<br /> | <td style="text-align: center;">4|2 v2<br /> | ||
| Line 714: | Line 754: | ||
<tr> | <tr> | ||
<td style="text-align: center;">3244333<br /> | <td style="text-align: center;">3244333<br /> | ||
</td> | |||
<td style="text-align: center;">2133222<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">3|3 v3<br /> | <td style="text-align: center;">3|3 v3<br /> | ||
| Line 724: | Line 766: | ||
<tr> | <tr> | ||
<td style="text-align: center;">3324433<br /> | <td style="text-align: center;">3324433<br /> | ||
</td> | |||
<td style="text-align: center;">2213322<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">2|4 v4<br /> | <td style="text-align: center;">2|4 v4<br /> | ||
| Line 734: | Line 778: | ||
<tr> | <tr> | ||
<td style="text-align: center;">3332443<br /> | <td style="text-align: center;">3332443<br /> | ||
</td> | |||
<td style="text-align: center;">2221332<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">1|5 v5<br /> | <td style="text-align: center;">1|5 v5<br /> | ||
| Line 744: | Line 790: | ||
<tr> | <tr> | ||
<td style="text-align: center;">3333244<br /> | <td style="text-align: center;">3333244<br /> | ||
</td> | |||
<td style="text-align: center;">2222133<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">0|6 v6<br /> | <td style="text-align: center;">0|6 v6<br /> | ||
| Line 761: | Line 809: | ||
<table class="wiki_table"> | <table class="wiki_table"> | ||
<tr> | <tr> | ||
<td style="text-align: center;"> | <td style="text-align: center;">22edo Steps<br /> | ||
</td> | |||
<td style="text-align: center;">15edo Steps<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">UDP Name<br /> | <td style="text-align: center;">UDP Name<br /> | ||
| Line 772: | Line 822: | ||
<tr> | <tr> | ||
<td style="text-align: center;">4333243<br /> | <td style="text-align: center;">4333243<br /> | ||
</td> | |||
<td style="text-align: center;">3222132<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">6|0 v6<br /> | <td style="text-align: center;">6|0 v6<br /> | ||
| Line 782: | Line 834: | ||
<tr> | <tr> | ||
<td style="text-align: center;">3433324<br /> | <td style="text-align: center;">3433324<br /> | ||
</td> | |||
<td style="text-align: center;">2322213<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">5|1 v7<br /> | <td style="text-align: center;">5|1 v7<br /> | ||
| Line 792: | Line 846: | ||
<tr> | <tr> | ||
<td style="text-align: center;">4343332<br /> | <td style="text-align: center;">4343332<br /> | ||
</td> | |||
<td style="text-align: center;">3232221<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">6|0 ^4^5^6^7<br /> | <td style="text-align: center;">6|0 ^4^5^6^7<br /> | ||
| Line 802: | Line 858: | ||
<tr> | <tr> | ||
<td style="text-align: center;">2434333<br /> | <td style="text-align: center;">2434333<br /> | ||
</td> | |||
<td style="text-align: center;">1323222<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">3|3 v2<br /> | <td style="text-align: center;">3|3 v2<br /> | ||
| Line 812: | Line 870: | ||
<tr> | <tr> | ||
<td style="text-align: center;">3243433<br /> | <td style="text-align: center;">3243433<br /> | ||
</td> | |||
<td style="text-align: center;">2132322<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">2|4 v3<br /> | <td style="text-align: center;">2|4 v3<br /> | ||
| Line 822: | Line 882: | ||
<tr> | <tr> | ||
<td style="text-align: center;">3324343<br /> | <td style="text-align: center;">3324343<br /> | ||
</td> | |||
<td style="text-align: center;">2213232<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">1|5 v4<br /> | <td style="text-align: center;">1|5 v4<br /> | ||
| Line 832: | Line 894: | ||
<tr> | <tr> | ||
<td style="text-align: center;">3332434<br /> | <td style="text-align: center;">3332434<br /> | ||
</td> | |||
<td style="text-align: center;">2221323<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">0|6 v5<br /> | <td style="text-align: center;">0|6 v5<br /> | ||
| Line 849: | Line 913: | ||
<table class="wiki_table"> | <table class="wiki_table"> | ||
<tr> | <tr> | ||
<td style="text-align: center;"> | <td style="text-align: center;">22edo Steps<br /> | ||
</td> | |||
<td style="text-align: center;">15edo Steps<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">UDP Name<br /> | <td style="text-align: center;">UDP Name<br /> | ||
| Line 860: | Line 926: | ||
<tr> | <tr> | ||
<td style="text-align: center;">4332433<br /> | <td style="text-align: center;">4332433<br /> | ||
</td> | |||
<td style="text-align: center;">3221322<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">6|0 v5<br /> | <td style="text-align: center;">6|0 v5<br /> | ||
| Line 870: | Line 938: | ||
<tr> | <tr> | ||
<td style="text-align: center;">3433243<br /> | <td style="text-align: center;">3433243<br /> | ||
</td> | |||
<td style="text-align: center;">2322132<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">5|1 v6<br /> | <td style="text-align: center;">5|1 v6<br /> | ||
| Line 880: | Line 950: | ||
<tr> | <tr> | ||
<td style="text-align: center;">3343324<br /> | <td style="text-align: center;">3343324<br /> | ||
</td> | |||
<td style="text-align: center;">2232213<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">4|2 v7<br /> | <td style="text-align: center;">4|2 v7<br /> | ||
| Line 890: | Line 962: | ||
<tr> | <tr> | ||
<td style="text-align: center;">4334332<br /> | <td style="text-align: center;">4334332<br /> | ||
</td> | |||
<td style="text-align: center;">3223221<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">6|0 ^5^6^7<br /> | <td style="text-align: center;">6|0 ^5^6^7<br /> | ||
| Line 900: | Line 974: | ||
<tr> | <tr> | ||
<td style="text-align: center;">2433433<br /> | <td style="text-align: center;">2433433<br /> | ||
</td> | |||
<td style="text-align: center;">1322322<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">2|4 v2<br /> | <td style="text-align: center;">2|4 v2<br /> | ||
| Line 910: | Line 986: | ||
<tr> | <tr> | ||
<td style="text-align: center;">3243343<br /> | <td style="text-align: center;">3243343<br /> | ||
</td> | |||
<td style="text-align: center;">2132232<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">1|5 v3<br /> | <td style="text-align: center;">1|5 v3<br /> | ||
| Line 920: | Line 998: | ||
<tr> | <tr> | ||
<td style="text-align: center;">3324334<br /> | <td style="text-align: center;">3324334<br /> | ||
</td> | |||
<td style="text-align: center;">2213223<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">0|6 v4<br /> | <td style="text-align: center;">0|6 v4<br /> | ||
| Line 937: | Line 1,017: | ||
<table class="wiki_table"> | <table class="wiki_table"> | ||
<tr> | <tr> | ||
<td style="text-align: center;"> | <td style="text-align: center;">22edo Steps<br /> | ||
</td> | |||
<td style="text-align: center;">15edo Steps<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">UDP Name<br /> | <td style="text-align: center;">UDP Name<br /> | ||
| Line 948: | Line 1,030: | ||
<tr> | <tr> | ||
<td style="text-align: center;">4324333<br /> | <td style="text-align: center;">4324333<br /> | ||
</td> | |||
<td style="text-align: center;">3213222<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">6|0 v4<br /> | <td style="text-align: center;">6|0 v4<br /> | ||
| Line 958: | Line 1,042: | ||
<tr> | <tr> | ||
<td style="text-align: center;">3432433<br /> | <td style="text-align: center;">3432433<br /> | ||
</td> | |||
<td style="text-align: center;">2321322<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">5|1 v5<br /> | <td style="text-align: center;">5|1 v5<br /> | ||
| Line 968: | Line 1,054: | ||
<tr> | <tr> | ||
<td style="text-align: center;">3343243<br /> | <td style="text-align: center;">3343243<br /> | ||
</td> | |||
<td style="text-align: center;">2232132<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">4|2 v6<br /> | <td style="text-align: center;">4|2 v6<br /> | ||
| Line 978: | Line 1,066: | ||
<tr> | <tr> | ||
<td style="text-align: center;">3334324<br /> | <td style="text-align: center;">3334324<br /> | ||
</td> | |||
<td style="text-align: center;">2223213<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">3|3 v7<br /> | <td style="text-align: center;">3|3 v7<br /> | ||
| Line 988: | Line 1,078: | ||
<tr> | <tr> | ||
<td style="text-align: center;">4333432<br /> | <td style="text-align: center;">4333432<br /> | ||
</td> | |||
<td style="text-align: center;">3222321<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">6|0 ^6^7<br /> | <td style="text-align: center;">6|0 ^6^7<br /> | ||
| Line 998: | Line 1,090: | ||
<tr> | <tr> | ||
<td style="text-align: center;">2433343<br /> | <td style="text-align: center;">2433343<br /> | ||
</td> | |||
<td style="text-align: center;">1322232<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">1|5 v2<br /> | <td style="text-align: center;">1|5 v2<br /> | ||
| Line 1,008: | Line 1,102: | ||
<tr> | <tr> | ||
<td style="text-align: center;">3243334<br /> | <td style="text-align: center;">3243334<br /> | ||
</td> | |||
<td style="text-align: center;">2132223<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">0|6 v3<br /> | <td style="text-align: center;">0|6 v3<br /> | ||
| Line 1,025: | Line 1,121: | ||
<table class="wiki_table"> | <table class="wiki_table"> | ||
<tr> | <tr> | ||
<td style="text-align: center;"> | <td style="text-align: center;">22edo Steps<br /> | ||
</td> | |||
<td style="text-align: center;">15edo Steps<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">UDP Name #1<br /> | <td style="text-align: center;">UDP Name #1<br /> | ||
| Line 1,038: | Line 1,136: | ||
<tr> | <tr> | ||
<td style="text-align: center;">4333342<br /> | <td style="text-align: center;">4333342<br /> | ||
</td> | |||
<td style="text-align: center;">3222231<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">6|0 ^7<br /> | <td style="text-align: center;">6|0 ^7<br /> | ||
| Line 1,050: | Line 1,150: | ||
<tr> | <tr> | ||
<td style="text-align: center;">2433334<br /> | <td style="text-align: center;">2433334<br /> | ||
</td> | |||
<td style="text-align: center;">1322223<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">(5|1 ^1)<br /> | <td style="text-align: center;">(5|1 ^1)<br /> | ||
| Line 1,062: | Line 1,164: | ||
<tr> | <tr> | ||
<td style="text-align: center;">4243333<br /> | <td style="text-align: center;">4243333<br /> | ||
</td> | |||
<td style="text-align: center;">3132222<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">4|2 ^2<br /> | <td style="text-align: center;">4|2 ^2<br /> | ||
| Line 1,074: | Line 1,178: | ||
<tr> | <tr> | ||
<td style="text-align: center;">3424333<br /> | <td style="text-align: center;">3424333<br /> | ||
</td> | |||
<td style="text-align: center;">2313222<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">3|3 ^3<br /> | <td style="text-align: center;">3|3 ^3<br /> | ||
| Line 1,086: | Line 1,192: | ||
<tr> | <tr> | ||
<td style="text-align: center;">3342433<br /> | <td style="text-align: center;">3342433<br /> | ||
</td> | |||
<td style="text-align: center;">2231322<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">2|4 ^4<br /> | <td style="text-align: center;">2|4 ^4<br /> | ||
| Line 1,098: | Line 1,206: | ||
<tr> | <tr> | ||
<td style="text-align: center;">3334243<br /> | <td style="text-align: center;">3334243<br /> | ||
</td> | |||
<td style="text-align: center;">2223132<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">1|5 ^5<br /> | <td style="text-align: center;">1|5 ^5<br /> | ||
| Line 1,110: | Line 1,220: | ||
<tr> | <tr> | ||
<td style="text-align: center;">3333424<br /> | <td style="text-align: center;">3333424<br /> | ||
</td> | |||
<td style="text-align: center;">2222313<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">0|6 ^6<br /> | <td style="text-align: center;">0|6 ^6<br /> | ||
| Line 1,129: | Line 1,241: | ||
<table class="wiki_table"> | <table class="wiki_table"> | ||
<tr> | <tr> | ||
<td style="text-align: center;"> | <td style="text-align: center;">22edo Steps<br /> | ||
</td> | |||
<td style="text-align: center;">15edo Steps<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">UDP Name<br /> | <td style="text-align: center;">UDP Name<br /> | ||
| Line 1,140: | Line 1,254: | ||
<tr> | <tr> | ||
<td style="text-align: center;">4333423<br /> | <td style="text-align: center;">4333423<br /> | ||
</td> | |||
<td style="text-align: center;">3222312<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">6|0 ^6<br /> | <td style="text-align: center;">6|0 ^6<br /> | ||
| Line 1,150: | Line 1,266: | ||
<tr> | <tr> | ||
<td style="text-align: center;">3433342<br /> | <td style="text-align: center;">3433342<br /> | ||
</td> | |||
<td style="text-align: center;">2322231<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">5|1 ^7<br /> | <td style="text-align: center;">5|1 ^7<br /> | ||
| Line 1,160: | Line 1,278: | ||
<tr> | <tr> | ||
<td style="text-align: center;">2343334<br /> | <td style="text-align: center;">2343334<br /> | ||
</td> | |||
<td style="text-align: center;">1232223<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">0|6 v2 v3<br /> | <td style="text-align: center;">0|6 v2 v3<br /> | ||
| Line 1,170: | Line 1,290: | ||
<tr> | <tr> | ||
<td style="text-align: center;">4234333<br /> | <td style="text-align: center;">4234333<br /> | ||
</td> | |||
<td style="text-align: center;">3123222<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">3|3 ^2<br /> | <td style="text-align: center;">3|3 ^2<br /> | ||
| Line 1,182: | Line 1,304: | ||
<tr> | <tr> | ||
<td style="text-align: center;">3423433<br /> | <td style="text-align: center;">3423433<br /> | ||
</td> | |||
<td style="text-align: center;">2312322<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">2|4 ^3<br /> | <td style="text-align: center;">2|4 ^3<br /> | ||
| Line 1,192: | Line 1,316: | ||
<tr> | <tr> | ||
<td style="text-align: center;">3342343<br /> | <td style="text-align: center;">3342343<br /> | ||
</td> | |||
<td style="text-align: center;">2231232<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">1|5 ^4<br /> | <td style="text-align: center;">1|5 ^4<br /> | ||
| Line 1,202: | Line 1,328: | ||
<tr> | <tr> | ||
<td style="text-align: center;">3334234<br /> | <td style="text-align: center;">3334234<br /> | ||
</td> | |||
<td style="text-align: center;">2223123<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">0|6 ^5<br /> | <td style="text-align: center;">0|6 ^5<br /> | ||
| Line 1,219: | Line 1,347: | ||
<table class="wiki_table"> | <table class="wiki_table"> | ||
<tr> | <tr> | ||
<td style="text-align: center;"> | <td style="text-align: center;">22edo Steps<br /> | ||
</td> | |||
<td style="text-align: center;">15edo Steps<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">UDP Name<br /> | <td style="text-align: center;">UDP Name<br /> | ||
| Line 1,230: | Line 1,360: | ||
<tr> | <tr> | ||
<td style="text-align: center;">4334233<br /> | <td style="text-align: center;">4334233<br /> | ||
</td> | |||
<td style="text-align: center;">3223122<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">6|0 ^5<br /> | <td style="text-align: center;">6|0 ^5<br /> | ||
| Line 1,240: | Line 1,372: | ||
<tr> | <tr> | ||
<td style="text-align: center;">3433423<br /> | <td style="text-align: center;">3433423<br /> | ||
</td> | |||
<td style="text-align: center;">2322312<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">5|1 ^6<br /> | <td style="text-align: center;">5|1 ^6<br /> | ||
| Line 1,250: | Line 1,384: | ||
<tr> | <tr> | ||
<td style="text-align: center;">3343342<br /> | <td style="text-align: center;">3343342<br /> | ||
</td> | |||
<td style="text-align: center;">2232231<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">4|2 ^7<br /> | <td style="text-align: center;">4|2 ^7<br /> | ||
| Line 1,260: | Line 1,396: | ||
<tr> | <tr> | ||
<td style="text-align: center;">2334334<br /> | <td style="text-align: center;">2334334<br /> | ||
</td> | |||
<td style="text-align: center;">1223223<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">0|6 v2v3v4<br /> | <td style="text-align: center;">0|6 v2v3v4<br /> | ||
| Line 1,270: | Line 1,408: | ||
<tr> | <tr> | ||
<td style="text-align: center;">4233433<br /> | <td style="text-align: center;">4233433<br /> | ||
</td> | |||
<td style="text-align: center;">3122322<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">2|4 ^2<br /> | <td style="text-align: center;">2|4 ^2<br /> | ||
| Line 1,280: | Line 1,420: | ||
<tr> | <tr> | ||
<td style="text-align: center;">3423343<br /> | <td style="text-align: center;">3423343<br /> | ||
</td> | |||
<td style="text-align: center;">2312232<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">1|5 ^3<br /> | <td style="text-align: center;">1|5 ^3<br /> | ||
| Line 1,290: | Line 1,432: | ||
<tr> | <tr> | ||
<td style="text-align: center;">3342334<br /> | <td style="text-align: center;">3342334<br /> | ||
</td> | |||
<td style="text-align: center;">2231223<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">0|6 ^4<br /> | <td style="text-align: center;">0|6 ^4<br /> | ||
| Line 1,307: | Line 1,451: | ||
<table class="wiki_table"> | <table class="wiki_table"> | ||
<tr> | <tr> | ||
<td style="text-align: center;"> | <td style="text-align: center;">22edo Steps<br /> | ||
</td> | |||
<td style="text-align: center;">15edo Steps<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">UDP Name<br /> | <td style="text-align: center;">UDP Name<br /> | ||
| Line 1,318: | Line 1,464: | ||
<tr> | <tr> | ||
<td style="text-align: center;">4342333<br /> | <td style="text-align: center;">4342333<br /> | ||
</td> | |||
<td style="text-align: center;">3231222<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">6|0 ^4<br /> | <td style="text-align: center;">6|0 ^4<br /> | ||
| Line 1,328: | Line 1,476: | ||
<tr> | <tr> | ||
<td style="text-align: center;">3434233<br /> | <td style="text-align: center;">3434233<br /> | ||
</td> | |||
<td style="text-align: center;">2323122<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">5|1 ^5<br /> | <td style="text-align: center;">5|1 ^5<br /> | ||
| Line 1,338: | Line 1,488: | ||
<tr> | <tr> | ||
<td style="text-align: center;">3343423<br /> | <td style="text-align: center;">3343423<br /> | ||
</td> | |||
<td style="text-align: center;">2232312<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">4|2 ^6<br /> | <td style="text-align: center;">4|2 ^6<br /> | ||
| Line 1,348: | Line 1,500: | ||
<tr> | <tr> | ||
<td style="text-align: center;">3334342<br /> | <td style="text-align: center;">3334342<br /> | ||
</td> | |||
<td style="text-align: center;">2223231<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">3|3 ^7<br /> | <td style="text-align: center;">3|3 ^7<br /> | ||
| Line 1,358: | Line 1,512: | ||
<tr> | <tr> | ||
<td style="text-align: center;">2333434<br /> | <td style="text-align: center;">2333434<br /> | ||
</td> | |||
<td style="text-align: center;">1222323<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">0|6 v2v3v4v5<br /> | <td style="text-align: center;">0|6 v2v3v4v5<br /> | ||
| Line 1,368: | Line 1,524: | ||
<tr> | <tr> | ||
<td style="text-align: center;">4233343<br /> | <td style="text-align: center;">4233343<br /> | ||
</td> | |||
<td style="text-align: center;">3122232<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">1|5 ^2<br /> | <td style="text-align: center;">1|5 ^2<br /> | ||
| Line 1,378: | Line 1,536: | ||
<tr> | <tr> | ||
<td style="text-align: center;">3423334<br /> | <td style="text-align: center;">3423334<br /> | ||
</td> | |||
<td style="text-align: center;">2312223<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">0|6 ^3<br /> | <td style="text-align: center;">0|6 ^3<br /> | ||
| Line 1,395: | Line 1,555: | ||
<table class="wiki_table"> | <table class="wiki_table"> | ||
<tr> | <tr> | ||
<td style="text-align: center;"> | <td style="text-align: center;">22edo Steps<br /> | ||
</td> | |||
<td style="text-align: center;">15edo Steps<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">UDP Name<br /> | <td style="text-align: center;">UDP Name<br /> | ||
| Line 1,406: | Line 1,568: | ||
<tr> | <tr> | ||
<td style="text-align: center;">4423333<br /> | <td style="text-align: center;">4423333<br /> | ||
</td> | |||
<td style="text-align: center;">3312222<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">6|0 ^3<br /> | <td style="text-align: center;">6|0 ^3<br /> | ||
| Line 1,416: | Line 1,580: | ||
<tr> | <tr> | ||
<td style="text-align: center;">3442333<br /> | <td style="text-align: center;">3442333<br /> | ||
</td> | |||
<td style="text-align: center;">2331222<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">5|1 ^4<br /> | <td style="text-align: center;">5|1 ^4<br /> | ||
| Line 1,426: | Line 1,592: | ||
<tr> | <tr> | ||
<td style="text-align: center;">3344233<br /> | <td style="text-align: center;">3344233<br /> | ||
</td> | |||
<td style="text-align: center;">2233122<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">4|2 ^5<br /> | <td style="text-align: center;">4|2 ^5<br /> | ||
| Line 1,436: | Line 1,604: | ||
<tr> | <tr> | ||
<td style="text-align: center;">3334423<br /> | <td style="text-align: center;">3334423<br /> | ||
</td> | |||
<td style="text-align: center;">2223312<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">3|3 ^6<br /> | <td style="text-align: center;">3|3 ^6<br /> | ||
| Line 1,446: | Line 1,616: | ||
<tr> | <tr> | ||
<td style="text-align: center;">3333442<br /> | <td style="text-align: center;">3333442<br /> | ||
</td> | |||
<td style="text-align: center;">2222331<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">2|4 ^7<br /> | <td style="text-align: center;">2|4 ^7<br /> | ||
| Line 1,456: | Line 1,628: | ||
<tr> | <tr> | ||
<td style="text-align: center;">2333344<br /> | <td style="text-align: center;">2333344<br /> | ||
</td> | |||
<td style="text-align: center;">1222233<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">0|6 v2v3v4v5v6<br /> | <td style="text-align: center;">0|6 v2v3v4v5v6<br /> | ||
| Line 1,466: | Line 1,640: | ||
<tr> | <tr> | ||
<td style="text-align: center;">4233334<br /> | <td style="text-align: center;">4233334<br /> | ||
</td> | |||
<td style="text-align: center;">3122223<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">0|6 #2<br /> | <td style="text-align: center;">0|6 #2<br /> | ||
| Line 1,483: | Line 1,659: | ||
<table class="wiki_table"> | <table class="wiki_table"> | ||
<tr> | <tr> | ||
<td style="text-align: center;"> | <td style="text-align: center;">22edo Steps<br /> | ||
</td> | |||
<td style="text-align: center;">15edo Steps<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">UDP Name<br /> | <td style="text-align: center;">UDP Name<br /> | ||
| Line 1,494: | Line 1,672: | ||
<tr> | <tr> | ||
<td style="text-align: center;">5233333<br /> | <td style="text-align: center;">5233333<br /> | ||
</td> | |||
<td style="text-align: center;">4122222<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">6|0 ^2<br /> | <td style="text-align: center;">6|0 ^2<br /> | ||
| Line 1,504: | Line 1,684: | ||
<tr> | <tr> | ||
<td style="text-align: center;">3523333<br /> | <td style="text-align: center;">3523333<br /> | ||
</td> | |||
<td style="text-align: center;">2412222<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">5|1 ^3<br /> | <td style="text-align: center;">5|1 ^3<br /> | ||
| Line 1,514: | Line 1,696: | ||
<tr> | <tr> | ||
<td style="text-align: center;">3352333<br /> | <td style="text-align: center;">3352333<br /> | ||
</td> | |||
<td style="text-align: center;">2241222<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">4|2 ^4<br /> | <td style="text-align: center;">4|2 ^4<br /> | ||
| Line 1,524: | Line 1,708: | ||
<tr> | <tr> | ||
<td style="text-align: center;">3335233<br /> | <td style="text-align: center;">3335233<br /> | ||
</td> | |||
<td style="text-align: center;">2224122<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">3|3 ^5<br /> | <td style="text-align: center;">3|3 ^5<br /> | ||
| Line 1,534: | Line 1,720: | ||
<tr> | <tr> | ||
<td style="text-align: center;">3333523<br /> | <td style="text-align: center;">3333523<br /> | ||
</td> | |||
<td style="text-align: center;">2222412<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">2|4 ^6<br /> | <td style="text-align: center;">2|4 ^6<br /> | ||
| Line 1,544: | Line 1,732: | ||
<tr> | <tr> | ||
<td style="text-align: center;">3333352<br /> | <td style="text-align: center;">3333352<br /> | ||
</td> | |||
<td style="text-align: center;">2222241<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">1|5 ^7<br /> | <td style="text-align: center;">1|5 ^7<br /> | ||
| Line 1,554: | Line 1,744: | ||
<tr> | <tr> | ||
<td style="text-align: center;">2333335<br /> | <td style="text-align: center;">2333335<br /> | ||
</td> | |||
<td style="text-align: center;">1222224<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">0|6 v2v3v4v5v6v7<br /> | <td style="text-align: center;">0|6 v2v3v4v5v6v7<br /> | ||
| Line 1,570: | Line 1,762: | ||
<table class="wiki_table"> | <table class="wiki_table"> | ||
<tr> | <tr> | ||
<td style="text-align: center;"> | <td style="text-align: center;">22edo Steps<br /> | ||
</td> | |||
<td style="text-align: center;">15edo Steps<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">UDP Name<br /> | <td style="text-align: center;">UDP Name<br /> | ||
| Line 1,581: | Line 1,775: | ||
<tr> | <tr> | ||
<td style="text-align: center;">4324342<br /> | <td style="text-align: center;">4324342<br /> | ||
</td> | |||
<td style="text-align: center;">3213231<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">6|0 v4 ^7<br /> | <td style="text-align: center;">6|0 v4 ^7<br /> | ||
| Line 1,591: | Line 1,787: | ||
<tr> | <tr> | ||
<td style="text-align: center;">4234243<br /> | <td style="text-align: center;">4234243<br /> | ||
</td> | |||
<td style="text-align: center;">3123132<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">3|3 ^2 v6<br /> | <td style="text-align: center;">3|3 ^2 v6<br /> | ||
Revision as of 11:18, 11 March 2013
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author igliashon and made on 2013-03-11 11:18:46 UTC.
- The original revision id was 413860408.
- The revision comment was:
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.
Original Wikitext content:
[[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>