Chords of pajara: Difference between revisions
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{{ | {{Breadcrumb|Pajara}} | ||
This page lists all [[11-odd-limit]] [[dyadic chord]]s of [[11-limit]] [[pajara]] temperament. Each chord listed has multiple [[chord #Inversion|inversions]]; only one is listed, that being the inversion where all notes are a nonnegative number of perfect fifth [[generator]]s above the root or semioctave<ref group="note>Sometimes there are two such inversions, in which case the one which appears first in generation order is kept. Note that a note reached by stacking fifths above the root (e.g. 3) comes before the same note displaced by a semioctave (e.g. 3').</ref>, which may not be the optimal root position of the chord. Note that there are many common chords, such as the classical [[major seventh chord]] with ratios [[8:10:12:15]], which are not listed; in this case because [[15/8]] is not a ratio of the 11-odd-limit. | This page lists all [[11-odd-limit]] [[dyadic chord]]s of [[11-limit]] [[pajara]] temperament. Each chord listed has multiple [[chord #Inversion|inversions]]; only one is listed, that being the inversion where all notes are a nonnegative number of perfect fifth [[generator]]s above the root or semioctave<ref group="note>Sometimes there are two such inversions, in which case the one which appears first in generation order is kept. Note that a note reached by stacking fifths above the root (e.g. 3) comes before the same note displaced by a semioctave (e.g. 3').</ref>, which may not be the optimal root position of the chord. Note that there are many common chords, such as the classical [[major seventh chord]] with ratios [[8:10:12:15]], which are not listed; in this case because [[15/8]] is not a ratio of the 11-odd-limit. | ||
| Line 171: | Line 172: | ||
| 1–12/11–3/2 | | 1–12/11–3/2 | ||
| Utonal | | Utonal | ||
| | | [[22:24:33|1/(12:11:8)]] | ||
|- | |- | ||
| 27 | | 27 | ||
| Line 201: | Line 202: | ||
| 1–12/11–16/11 | | 1–12/11–16/11 | ||
| Otonal | | Otonal | ||
| | | [[8:11:12]] | ||
|- | |- | ||
| 32 | | 32 | ||
| Line 836: | Line 837: | ||
== Notes == | == Notes == | ||
<references group="note"/> | <references group="note"/> | ||
[[Category:Pajara]] | |||
[[Category:Lists of chords]] | |||
[[Category:Dyadic chords]] | |||
[[Category:Triads]] | |||
[[Category:Tetrads]] | |||
[[Category:Pentads]] | |||
[[Category:Hexads]] | |||