Porcupine temperament modal harmony: Difference between revisions
→Alterations by porcupine[8] chroma: added notes on modes of [8] and middle [8] chroma MODMOS |
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| Line 916: | Line 916: | ||
|I II iii iv v VI+ VII+ VII | |I II iii iv v VI+ VII+ VII | ||
| | 10:12:15 on the tonic | | | 10:12:15 on the tonic | ||
Has both 4/3 and 3/2 | |||
|- | |- | ||
|Dark major | |Dark major | ||
| Line 924: | Line 925: | ||
|I ii iii iv V+ VI+ VII VIII | |I ii iii iv V+ VI+ VII VIII | ||
| | 10:12:15 on the tonic | | | 10:12:15 on the tonic | ||
Has both 4/3 and 3/2 | |||
|- | |- | ||
|Bright minor | |Bright minor | ||
| Line 1,195: | Line 1,197: | ||
| | A B Cb D E Fb Gb Hb | | | A B Cb D E Fb Gb Hb | ||
|I II III+ iv vº VI+ VII+ viii | |I II III+ iv vº VI+ VII+ viii | ||
| | | | | Has both 4/3 and 3/2 | ||
|- | |- | ||
|Dark major b2 | |Dark major b2 | ||
| Line 1,204: | Line 1,206: | ||
|I III+ iii ivº V+ VI+ vii VIII | |I III+ iii ivº V+ VI+ vii VIII | ||
| | 10:12:15 on the tonic | | | 10:12:15 on the tonic | ||
Has both 4/3 and 3/2 | |||
|- | |- | ||
|Bright augmented #2#3 | |Bright augmented #2#3 | ||
| Line 1,248: | Line 1,251: | ||
| | A B C D E F Gb H | | | A B C D E F Gb H | ||
|I II+ III iv V vi VII+ viii | |I II+ III iv V vi VII+ viii | ||
| | | | | Brightest major with all consonant 3-step triads | ||
Major triads on 1/1, 6/5, 36/25 (with roots on 4/3, 8/5, 48/25) | |||
Minor triads on 4/3, 8/5, 48/25 (with roots on 10/9, 4/3, 8/5) | |||
|- | |- | ||
|Dark augmented b6 | |Dark augmented b6 | ||
| Line 1,257: | Line 1,264: | ||
|I+ II iii IV v VI+ vii VIII | |I+ II iii IV v VI+ vii VIII | ||
| | 10:12:15 on the tonic | | | 10:12:15 on the tonic | ||
Has both 4/3 and 3/2 | |||
|- | |- | ||
|Bright major b5, Dark major #6 | |Bright major b5, Dark major #6 | ||
| Line 1,264: | Line 1,272: | ||
| | A B C D Eb F Gb Hb | | | A B C D Eb F Gb Hb | ||
|I ii III iv V+ vi VII VIII+ | |I ii III iv V+ vi VII VIII+ | ||
| | | | | Major triads on 1/1, 6/5, 5/3 (with roots on 4/3, 8/5, 10/9) | ||
Minor triads on 10/9, 4/3, 8/5 (with roots on 9/5, 10/9, 4/3) | |||
|- | |- | ||
|Bright minor #5 | |Bright minor #5 | ||
| Line 1,272: | Line 1,282: | ||
| | A B C Db E Fb Gb Hb | | | A B C Db E Fb Gb Hb | ||
|i II iii IV+ v VI VII+ VIII | |i II iii IV+ v VI VII+ VIII | ||
| | | | | Brightest minor with all consonant 3-step triads | ||
Major triads on 10/9, 3/2, 9/5 (with roots on 36/25, 1/1, 6/5) | |||
Minor triads on 1/1, 6/5, 36/25 (with roots on 5/3, 1/1, 6/5) | |||
|- | |- | ||
|Dark major v3 | |Dark major v3 | ||
| Line 1,280: | Line 1,293: | ||
| | A B Cb D Eb Fb Gb Hb | | | A B Cb D Eb Fb Gb Hb | ||
|I ii III+ iv V VI+ VII viii | |I ii III+ iv V VI+ VII viii | ||
| | | | | Major triads on 1/1, 25/18, 5/3 (with roots on 4/3, 9/5, 10/9) | ||
Minor triads on 10/9, 4/3, 9/5 (with roots on 9/5, 10/9, 3/2) | |||
Has both 4/3 and 3/2 | |||
|- | |- | ||
|Bright minor b2, Dark minor #3 | |Bright minor b2, Dark minor #3 | ||
| Line 1,289: | Line 1,306: | ||
|i II+ iii IV V+ VI vii VIII | |i II+ iii IV V+ VI vii VIII | ||
| | 8:10:11:12 and 10:12:15 on the tonic | | | 8:10:11:12 and 10:12:15 on the tonic | ||
Major triads on 5/4, 3/2, 9/5 (with roots on 5/3, 1/1, 6/5) | |||
Minor triads on 1/1, 6/5, 5/3 (with roots on 5/3, 1/1, 25/18) | |||
|- | |- | ||
|Bright augmented #2 | |Bright augmented #2 | ||
| Line 1,296: | Line 1,316: | ||
| | A B# C D E F G H | | | A B# C D E F G H | ||
|I+ ii III IV+ V vi VII viii | |I+ ii III IV+ V vi VII viii | ||
| | | | | Brightest mode with all consonant 3-step triads | ||
|- | |- | ||
|Dark minor b8 | |Dark minor b8 | ||
| Line 1,303: | Line 1,323: | ||
| | | | ||
| | A Bb Cb Db Eb Fb Gb Hbb | | | A Bb Cb Db Eb Fb Gb Hbb | ||
|i II III+ IV v | |i II III+ IV v VI vii VIII+ | ||
| | 8:9:10:11:12 on the tonic | | | Darkest mode/minor with all consonant 3-step triads | ||
8:9:10:11:12 on the tonic | |||
8:9:10:11:12:14 on the tonic in 15edo | 8:9:10:11:12:14 on the tonic in 15edo | ||
Major triads on 25/24, 5/4, 3/2 (with roots on 25/18, 5/3, 1/1) | |||
Minor triads on 1/1, 25/18, 5/3 (with roots on 5/3, 9/8, 25/18) | |||
|} | |} | ||
| Line 1,353: | Line 1,378: | ||
|I II+ iii iv V VI+ VII+ viiiº | |I II+ iii iv V VI+ VII+ viiiº | ||
| | 10:12:15 on the tonic | | | 10:12:15 on the tonic | ||
Has both 4/3 and 3/2 | |||
|- | |- | ||
|Dark augmented b5b6 | |Dark augmented b5b6 | ||
| Line 1,361: | Line 1,387: | ||
|I+ ii iii IV V+ VI+ viiº VIII | |I+ ii iii IV V+ VI+ viiº VIII | ||
| | 10:12:15 on the tonic | | | 10:12:15 on the tonic | ||
Has both 4/3 and 3/2 | |||
|- | |- | ||
|Bright minor #6 | |Bright minor #6 | ||
| Line 1,384: | Line 1,411: | ||
| | A Bb Cb D Eb Fb Gb Hb | | | A Bb Cb D Eb Fb Gb Hb | ||
|I II+ III+ ivº V VI+ vii viii | |I II+ III+ ivº V VI+ vii viii | ||
| | | | | Has both 4/3 and 3/2 | ||
|} | |} | ||