User:Aura/Aura's introduction to 159edo: Difference between revisions
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| 1/(32:45:64) | | 1/(32:45:64) | ||
| This trine is very common as a basis for diminished chords | | This trine is very common as a basis for diminished chords | ||
|- | |||
| Subagallic | |||
| D, G↑, D | |||
| 0, 69, 0 | |||
| 20:27:40 | |||
| This dissonant trine is very likely to show up in non-meantone diatonic contexts | |||
|- | |||
| Supradusthumic | |||
| D, A↓, D | |||
| 0, 90, 0 | |||
| 1/(20:27:40) | |||
| This dissonant trine is very likely to show up in non-meantone diatonic contexts | |||
|} | |} | ||
| Line 1,535: | Line 1,547: | ||
| 10:12:15:18 | | 10:12:15:18 | ||
| This tetrad is likely to decompose into a voicing variation on the corresponding triad if the same scale degree is used as a chord root multiple times in a row | | This tetrad is likely to decompose into a voicing variation on the corresponding triad if the same scale degree is used as a chord root multiple times in a row | ||
|- | |||
| Pythagorean Minor Seventh | |||
| D, F, A, C | |||
| 0, 39, 93, 132 | |||
| II | |||
| 54:64:81:96 | |||
| This dissonant tetrad is common in 3-limit music, but still has a role to play in 5-limit music | |||
|- | |- | ||
| Pythagorean Major with Ptolemaic Major Seventh | | Pythagorean Major with Ptolemaic Major Seventh | ||
| Line 1,541: | Line 1,560: | ||
| IV | | IV | ||
| 64:81:96:120 | | 64:81:96:120 | ||
| | | This dissonant tetrad is an unconventional servient (subdominant) seventh for 5-limit music, and is one of a few diatonic tetrads to feature a wolf fifth | ||
|- | |- | ||
| Ptolemaic Dominant Seventh | | Ptolemaic Dominant Seventh | ||
| Line 1,555: | Line 1,574: | ||
| VI | | VI | ||
| 54:32:40:48 | | 54:32:40:48 | ||
| | | This dissonant tetrad is one of a few diatonic tetrads to feature a wolf fifth | ||
|- | |- | ||
| | |||
| D, F↑, Ab↑, C↑ | |||
| 0, 42, 81, 135 | |||
| VII | |||
| 45:54:64:81 | |||
| This dissonant triad is an unexpected option for imperfect half cadences in the 5-limit | |||
|- | |||
|} | |} | ||