159edo/Interval names and harmonies: Difference between revisions
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[[159edo]] contains all the intervals of [[53edo]], however, as some of the interpretations differ due 159edo having different mappings for certain primes, those differences show up in how harmonies are constructed. It should be noted that since 159edo does a better job of representing the 2.3.11 subgroup than [[24edo]], some of the chords listed on the page for [[ | [[159edo]] contains all the intervals of [[53edo]], however, as some of the interpretations differ due 159edo having different mappings for certain primes, those differences show up in how harmonies are constructed. It should be noted that since 159edo does a better job of representing the 2.3.11 subgroup than [[24edo]], some of the chords listed on the page for [[24edo interval names and harmonies]] carry over to this page, even though the exact sets of enharmonics differ between the two systems. | ||
{| class="mw-collapsible mw-collapsed wikitable center-1" | {| class="mw-collapsible mw-collapsed wikitable center-1" | ||
| Line 41: | Line 41: | ||
| [[144/143]] | | [[144/143]] | ||
| 120/119 | | 120/119 | ||
| | | rK1 | ||
| | | Narrow Superprime | ||
| | | D↑\ | ||
| | | Useful for slight dissonances that create more noticeable tension. | ||
|- | |- | ||
| 3 | | 3 | ||
| Line 53: | Line 53: | ||
| [[78/77]] | | [[78/77]] | ||
| 85/84 | | 85/84 | ||
| | | K1 | ||
| | | Lesser Superprime | ||
| | | D↑ | ||
| | | Useful for appoggiaturas, and acciaccaturas, and quick passing tones. | ||
|- | |- | ||
| 4 | | 4 | ||
| Line 65: | Line 65: | ||
| ? | | ? | ||
| [[52/51]] | | [[52/51]] | ||
| | | S1, kU1 | ||
| | | Greater Superprime, Narrow Inframinor Second | ||
| | | Dt<↓ | ||
| | | Useful for various types of subchromatic gestures, as well as for appoggiaturas, and acciaccaturas, and quick passing tones. | ||
|- | |- | ||
| 5 | | 5 | ||
| Line 77: | Line 77: | ||
| ? | | ? | ||
| [[51/50]] | | [[51/50]] | ||
| | | um2, RkU1 | ||
| | | Inframinor Second, Wide Superprime | ||
| | | Dt>↓ | ||
| | | By default, this interval is a type of paradiatonic quartertone and is used in much the same way as 24edo's own Inframinor second. | ||
|- | |- | ||
| 6 | | 6 | ||
| Line 89: | Line 89: | ||
| [[40/39]] | | [[40/39]] | ||
| 192/187 | | 192/187 | ||
| | | Rum2, rU1 | ||
| | | Wide Inframinor Second, Narrow Ultraprime | ||
| | | Dt<\ | ||
| | | This interval is particularly likely to be used as a cross between an Ultraprime and an Inframinor Second. | ||
|- | |- | ||
| 7 | | 7 | ||
| Line 101: | Line 101: | ||
| ? | | ? | ||
| [[34/33]] | | [[34/33]] | ||
| | | U1, rKum2 | ||
| | | Ultraprime, Narrow Subminor Second | ||
| | | Dt< | ||
| | | By default, this interval is a type of parachromatic quartertone and is thus used as the default interval for parachromatic modification. | ||
|- | |- | ||
| 8 | | 8 | ||
| Line 113: | Line 113: | ||
| ? | | ? | ||
| 88/85 | | 88/85 | ||
| | | sm2, Kum2, RU1 | ||
| | | Lesser Subminor Second, Wide Ultraprime | ||
| | | Dt> | ||
| | | Although this interval can act as a leading tone, it can also act as a trienstone- that is, a third of a tone- since it's one third of the Classic Major Second. | ||
|- | |- | ||
| 9 | | 9 | ||