159edo/Interval names and harmonies: Difference between revisions
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| This dissonant trine is the second of two that are formed from stacking identical approximations of the LCJI neutral third | | This dissonant trine is the second of two that are formed from stacking identical approximations of the LCJI neutral third | ||
|- | |- | ||
| | | Narrow Supranaiadic | ||
| D, G↓\, D | | D, G↓\, D | ||
| 0, 62, 0 | | 0, 62, 0 | ||
| Line 2,261: | Line 2,261: | ||
| This dissonant trine is common in essentially tempered chords | | This dissonant trine is common in essentially tempered chords | ||
|- | |- | ||
| | | Wide Subcocytic | ||
| D, A↑/, D | | D, A↑/, D | ||
| 0, 97, 0 | | 0, 97, 0 | ||
| 1/(16:21:32) | | 1/(16:21:32) | ||
| This dissonant trine is common in essentially tempered chords | | This dissonant trine is common in essentially tempered chords | ||
|- | |||
| Subcocytic | |||
| D, A↑, D | |||
| 0, 96, 0 | |||
| 160:243:320 | |||
| This dissonant trine is common in essentially tempered chords | |||
|- | |||
| Supranaiadic | |||
| D, G↓, D | |||
| 0, 63, 0 | |||
| 1/(160:243:320) | |||
| This dissonant trine is common in essentially tempered chords | |||
|- | |||
| Wide Supranaiadic | |||
| D, G↓/, D | |||
| 0, 64, 0 | |||
| 25:33:50 | |||
| This dissonant trine is on the outer edge of the diatonic range and is common in essentially tempered chords | |||
|- | |||
| Narrow Subcocytic | |||
| D, A↑\, D | |||
| 0, 95, 0 | |||
| 1/(25:33:50) | |||
| This dissonant trine is on the outer edge of the diatonic range and is common in essentially tempered chords | |||
|- | |- | ||
| Wide Naiadic | | Wide Naiadic | ||
| Line 2,271: | Line 2,295: | ||
| 0, 61, 0 | | 0, 61, 0 | ||
| 135:176:270 | | 135:176:270 | ||
| This dissonant trine is | | This dissonant trine is among the more consistently complex | ||
|- | |- | ||
| Narrow Cocytic | | Narrow Cocytic | ||
| Line 2,277: | Line 2,301: | ||
| 0, 98, 0 | | 0, 98, 0 | ||
| 1/(135:176:270) | | 1/(135:176:270) | ||
| This dissonant trine is | | This dissonant trine is among the more consistently complex | ||
|- | |- | ||
| Naiadic | | Naiadic | ||
| Line 2,283: | Line 2,307: | ||
| 0, 60, 0 | | 0, 60, 0 | ||
| 10:13:20 | | 10:13:20 | ||
| This dissonant trine is common | | This dissonant trine is relatively simple and thus expected to be rather common | ||
|- | |- | ||
| Cocytic | | Cocytic | ||
| Line 2,289: | Line 2,313: | ||
| 0, 99, 0 | | 0, 99, 0 | ||
| 1/(10:13:20) | | 1/(10:13:20) | ||
| This dissonant trine is common | | This dissonant trine is relatively simple and thus expected to be rather common | ||
|- | |- | ||
| Wide Cocytic | | Wide Cocytic | ||
| D, At<, D | | D, At<, D | ||
| 0, 100, 0 | | 0, 100, 0 | ||
| | | 11:17:22 | ||
| This trine is very likely to be used as a basis for cocytic triads | | This essentially tempered trine is very likely to be used as a basis for cocytic triads | ||
|- | |- | ||
| Narrow Niadic | | Narrow Niadic | ||
| D, Gd>, D | | D, Gd>, D | ||
| 0, 59, 0 | | 0, 59, 0 | ||
| 1/( | | 1/(11:17:22) | ||
| This trine is very likely to be used as a partial basis for suspended chords | | This essentially tempered trine is very likely to be used as a partial basis for suspended chords | ||
|- | |- | ||
| Wide Agallic | | Wide Agallic | ||
| Line 2,339: | Line 2,363: | ||
| This trine is very likely to be used as a basis for dusthumic triads | | This trine is very likely to be used as a basis for dusthumic triads | ||
|- | |- | ||
| | | Narrow Supradusthumic | ||
| D, Ad<↑, D | | D, Ad<↑, D | ||
| 0, 89, 0 | | 0, 89, 0 | ||
| Line 2,345: | Line 2,369: | ||
| This dissonant trine is common in essentially tempered chords | | This dissonant trine is common in essentially tempered chords | ||
|- | |- | ||
| | | Wide Subagallic | ||
| D, Gt>↓, D | | D, Gt>↓, D | ||
| 0, 70, 0 | | 0, 70, 0 | ||
| 1/(128:189:256) | | 1/(128:189:256) | ||
| This dissonant trine is common in essentially tempered chords | | This dissonant trine is common in essentially tempered 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 | |||
|- | |||
| Narrow Subagallic | |||
| D, G↑\, D | |||
| 0, 68, 0 | |||
| 90:121:180 | |||
| This dissonant trine is on the outer edge of the diatonic range | |||
|- | |||
| Wide Supradusthumic | |||
| D, A↓/, D | |||
| 0, 91, 0 | |||
| 1/(90:121:180) | |||
| This dissonant trine is on the outer edge of the diatonic range | |||
|- | |- | ||
| Ptolemaic Hyperquartal | | Ptolemaic Hyperquartal | ||