Chords of pajara: Difference between revisions

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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.


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| 0–0'–2–2'–4–4'
| 0–0'–2–2'–4–4'
| 1–9/8–9/7–7/5–8/5–9/5
| 1–9/8–9/7–7/5–8/5–9/5
| Minerva
| Apollo
|  
|  
|-
|-
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== 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]]