Porcupine temperament modal harmony: Difference between revisions
added functional mode names to three most popular Porcupine[7] MODMOS |
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|- | |- | ||
|Symmetric/ | |Symmetric/dark minor | ||
| | Dingoian | | | Dingoian | ||
| style="text-align:center;" | 3334333 | | style="text-align:center;" | 3334333 | ||
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|} | |} | ||
<span style="color: #0000ff;">'''MODMOS with 5th note in generator chain flattened: #..####.## | <span style="color: #0000ff;">'''MODMOS with 5th note in generator chain flattened: #..####.## (melodic major)'''</span> | ||
'''Consists of unbroken chains of 4/3s''' | '''Consists of unbroken chains of 4/3s''' | ||
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{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
| | William's Name | |Functional names | ||
| | William's Name (repltiles) | |||
| style="text-align:center;" | 22edo Steps | | style="text-align:center;" | 22edo Steps | ||
| style="text-align:center;" | 15edo Steps | | style="text-align:center;" | 15edo Steps | ||
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| style="text-align:center;" | Other Notes | | style="text-align:center;" | Other Notes | ||
|- | |- | ||
|Bright major v4 | |||
| | Lizard | | | Lizard | ||
| style="text-align:center;" | 4324333 | | style="text-align:center;" | 4324333 | ||
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| style="text-align:center;" | I, IV, v, vi "mixolydian-like"* | | style="text-align:center;" | I, IV, v, vi "mixolydian-like"* | ||
|- | |- | ||
|Dark major v5 | |||
| | Iguana | | | Iguana | ||
| style="text-align:center;" | 3432433 | | style="text-align:center;" | 3432433 | ||
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| style="text-align:center;" | | | style="text-align:center;" | | ||
|- | |- | ||
|Bright minor v6 | |||
| | Serpent | | | Serpent | ||
| style="text-align:center;" | 3343243 | | style="text-align:center;" | 3343243 | ||
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| style="text-align:center;" | i, III, VI, vii | | style="text-align:center;" | i, III, VI, vii | ||
|- | |- | ||
|Dark minor v7 | |||
| | Iguana | | | Iguana | ||
| style="text-align:center;" | 3334324 | | style="text-align:center;" | 3334324 | ||
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| style="text-align:center;" | i, ii, IV, VII "dorian-like" | | style="text-align:center;" | i, ii, IV, VII "dorian-like" | ||
|- | |- | ||
|Bright major ^6^7 | |||
(melodic major) | |||
| | Chameleon | | | Chameleon | ||
| style="text-align:center;" | 4333432 | | style="text-align:center;" | 4333432 | ||
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and suggests it as a candidate for "default major" | and suggests it as a candidate for "default major" | ||
|- | |- | ||
|Bright diminished v2 | |||
| | Crocodile | | | Crocodile | ||
| style="text-align:center;" | 2433343 | | style="text-align:center;" | 2433343 | ||
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| style="text-align:center;" | | | style="text-align:center;" | | ||
|- | |- | ||
|Dark diminished v3 | |||
| | Turtle | | | Turtle | ||
| style="text-align:center;" | 3243334 | | style="text-align:center;" | 3243334 | ||
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<ul><li>This kind of description 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> | <ul><li>This kind of description 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> | ||
<span style="color: #0000ff;">'''Symmetrical MODMOS with 2nd note in generator chain sharpened or 6th note flattened: #.#####.# | <span style="color: #0000ff;">'''Symmetrical MODMOS with 2nd note in generator chain sharpened or 6th note flattened: #.#####.# (harmonic)'''</span> | ||
'''Consists of unbroken chains of 4/3s''' | '''Consists of unbroken chains of 4/3s''' | ||
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{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
| | William's Name | |Functional Name | ||
| | William's Name (Farm animals) | |||
| style="text-align:center;" | 22edo Steps | | style="text-align:center;" | 22edo Steps | ||
| style="text-align:center;" | 15edo Steps | | style="text-align:center;" | 15edo Steps | ||
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| style="text-align:center;" | Other Notes | | style="text-align:center;" | Other Notes | ||
|- | |- | ||
|Bright major ^7 | |||
(harmonic major) | |||
| | Horse | | | Horse | ||
| style="text-align:center;" | 4333342 | | style="text-align:center;" | 4333342 | ||
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Major with major V chord (most major-sounding major) | Major with major V chord (most major-sounding major) | ||
|- | |- | ||
|Magical seventh v2 | |||
| | Pig | | | Pig | ||
| style="text-align:center;" | 2433334 | | style="text-align:center;" | 2433334 | ||
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Magical seventh | Magical seventh | ||
|- | |- | ||
|Bright minor ^2 | |||
(harmonic minor) | |||
| | Sheep | | | Sheep | ||
| style="text-align:center;" | 4243333 | | style="text-align:center;" | 4243333 | ||
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Minor with minor v chord (most minor-sounding minor) | Minor with minor v chord (most minor-sounding minor) | ||
|- | |- | ||
|Dark major v4 | |||
| | Cow | | | Cow | ||
| style="text-align:center;" | 3424333 | | style="text-align:center;" | 3424333 | ||
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Major with major IV chord | Major with major IV chord | ||
|- | |- | ||
|Symmetric diminished | |||
| | Llama | | | Llama | ||
| style="text-align:center;" | 3342433 | | style="text-align:center;" | 3342433 | ||
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Symmetric diminished | Symmetric diminished | ||
|- | |- | ||
|Dark minor v6 | |||
| | Goat | | | Goat | ||
| style="text-align:center;" | 3334243 | | style="text-align:center;" | 3334243 | ||
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Minor with minor iv | Minor with minor iv | ||
|- | |- | ||
|Magical seventh ^6 | |||
| | Rooster | | | Rooster | ||
| style="text-align:center;" | 3333424 | | style="text-align:center;" | 3333424 | ||
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|} | |} | ||
<span style="color: #0000ff;">'''MODMOS with 3rd note in generator chain sharpened: ##.####..# | <span style="color: #0000ff;">'''MODMOS with 3rd note in generator chain sharpened: ##.####..# (melodic minor)'''</span> | ||
'''Consists of unbroken chains of 4/3s''' | '''Consists of unbroken chains of 4/3s''' | ||
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{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
| | William's Name | |Functional names | ||
| | William's Name (big cats) | |||
| style="text-align:center;" | 22edo Steps | | style="text-align:center;" | 22edo Steps | ||
| style="text-align:center;" | 15edo Steps | | style="text-align:center;" | 15edo Steps | ||
| style="text-align:center;" | UDP Name | | style="text-align:center;" | UDP Name #1 | ||
|UDP Name #2 | |||
| | Spelling | | | Spelling | ||
| style="text-align:center;" | Other Notes | | style="text-align:center;" | Other Notes | ||
|- | |- | ||
|Bright major ^6 | |||
| | Lionian | | | Lionian | ||
| style="text-align:center;" | 4333423 | | style="text-align:center;" | 4333423 | ||
| style="text-align:center;" | 3222312 | | style="text-align:center;" | 3222312 | ||
| style="text-align:center;" | 6|0 ^6 | | style="text-align:center;" | 6|0 ^6 | ||
|<nowiki>(2|4 v1 v7)</nowiki> | |||
| | G A B C D E^ F | | | G A B C D E^ F | ||
| style="text-align:center;" | I, ii, v, VII "mixolydian-like" | | style="text-align:center;" | I, ii, v, VII "mixolydian-like" | ||
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8:9:10:11:12:14 on the tonic in 15edo only | 8:9:10:11:12:14 on the tonic in 15edo only | ||
|- | |- | ||
|Dark major ^7 | |||
| | Tigonian | | | Tigonian | ||
| style="text-align:center;" | 3433342 | | style="text-align:center;" | 3433342 | ||
| style="text-align:center;" | 2322231 | | style="text-align:center;" | 2322231 | ||
| style="text-align:center;" | 5|1 ^7 | | style="text-align:center;" | 5|1 ^7 | ||
|<nowiki>(1|5 v1 v2)</nowiki> | |||
| | G Av B C D E F^ | | | G Av B C D E F^ | ||
| style="text-align:center;" | I, II, iii, vi | | style="text-align:center;" | I, II, iii, vi | ||
|- | |- | ||
|Bright minor ^1 | |||
| | Cougian | | | Cougian | ||
| style="text-align:center;" | 2343334 | | style="text-align:center;" | 2343334 | ||
| style="text-align:center;" | 1232223 | | style="text-align:center;" | 1232223 | ||
| style="text-align:center;" | 0|6 v2 v3 | | style="text-align:center;" | <nowiki>(4|2 ^1)</nowiki> | ||
|<nowiki>0|6 v2 v3</nowiki> | |||
| | G Avv Bvv Cv Dv Ev Fv | | | G Avv Bvv Cv Dv Ev Fv | ||
| style="text-align:center;" | | | style="text-align:center;" | | ||
|- | |- | ||
|Dark minor ^2 | |||
(melodic minor) | |||
| | Leopardian | | | Leopardian | ||
| style="text-align:center;" | 4234333 | | style="text-align:center;" | 4234333 | ||
| style="text-align:center;" | 3123222 | | style="text-align:center;" | 3123222 | ||
| style="text-align:center;" | 3|3 ^2 | | style="text-align:center;" | 3|3 ^2 | ||
|<nowiki>6|0 v3 v4</nowiki> | |||
| | G A Bv Cv D E F | | | G A Bv Cv D E F | ||
| style="text-align:center;" | i, III, IV, v "dorian-like" | | style="text-align:center;" | i, III, IV, v "dorian-like" | ||
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and suggest it as a candidate for default "minor" | and suggest it as a candidate for default "minor" | ||
|- | |- | ||
|Bright diminished ^3 | |||
| | Cheetian | | | Cheetian | ||
| style="text-align:center;" | 3423433 | | style="text-align:center;" | 3423433 | ||
| style="text-align:center;" | 2312322 | | style="text-align:center;" | 2312322 | ||
| style="text-align:center;" | 2|4 ^3 | | style="text-align:center;" | 2|4 ^3 | ||
|<nowiki>5|1 v4 v5</nowiki> | |||
| | G Av B Cv Dv E F | | | G Av B Cv Dv E F | ||
| style="text-align:center;" | | | style="text-align:center;" | | ||
|- | |- | ||
|Dark diminished ^4 | |||
| | Jaguarian | | | Jaguarian | ||
| style="text-align:center;" | 3342343 | | style="text-align:center;" | 3342343 | ||
| style="text-align:center;" | 2231232 | | style="text-align:center;" | 2231232 | ||
| style="text-align:center;" | 1|5 ^4 | | style="text-align:center;" | 1|5 ^4 | ||
|<nowiki>4|2 v5 v6</nowiki> | |||
| | G Av Bv C Dv Ev F | | | G Av Bv C Dv Ev F | ||
| style="text-align:center;" | | | style="text-align:center;" | | ||
|- | |- | ||
|Dark minor v6 v7 | |||
| | Pantherian | | | Pantherian | ||
| style="text-align:center;" | 3334234 | | style="text-align:center;" | 3334234 | ||
| style="text-align:center;" | 2223123 | | style="text-align:center;" | 2223123 | ||
| style="text-align:center;" | 0|6 ^5 | | style="text-align:center;" | 0|6 ^5 | ||
|<nowiki>3|3 v6 v7</nowiki> | |||
| | G Av Bv Cv D Ev Fv | | | G Av Bv Cv D Ev Fv | ||
| style="text-align:center;" | i, iv, VI, VII "aeolian-like" | | style="text-align:center;" | i, iv, VI, VII "aeolian-like" | ||