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 [[24edo interval names and harmonies]] carry over to this page, even though the exact sets of enharmonics differ between the two systems. | [[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. Furthermore, just as with 24edo can be thought of as essentially having two fields of 12edo separated by a quartertone, 159edo can be thought of as having three fields of 53edo, each separated from the others by a third of a 53edo step on either side. This even lends to 159edo having its own variation on the Dinner Party Rules<ref>[https://www.youtube.com/watch?v=A355E0MKw7A Quartertone Harmony - The Truth About Quartertone Chords SD 480p]</ref>- for a detailed description of these, see the Harmonies section. | ||
== Interval chart == | == Interval chart == | ||
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| This interval… | | This interval… | ||
* Approximates the [[8/7|Septimal Supermajor Second]] or Octave-Reduced Seventh Subharmonic, and as such… | * Approximates the [[8/7|Septimal Supermajor Second]] or Octave-Reduced Seventh Subharmonic, and as such… | ||
:* Can readily occur as the distance between two notes in a single chord in Western-Classical-based polypedal harmony, as per this system's version of the Dinner Party Rules | :* Can readily occur as the distance between two notes in a single chord in Western-Classical-based polypedal harmony, as per this system's version of the Dinner Party Rules, and it should be noted that… | ||
::* Since three of these add up to this system's approximation of the Perfect Fifth, there are multiple ways it can be used in chords to great effect | ::* Since three of these add up to this system's approximation of the Perfect Fifth, there are multiple ways it can be used in chords to great effect | ||
::* This causes ambisonance, so chords that utilize it are prone to decomposition | ::* This causes ambisonance, so chords that utilize it are prone to decomposition | ||
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== Harmonies == | == Harmonies == | ||
<todo> | <todo> | ||
Harmonies in 159edo often, but not always have to follow a variation on the Dinner Party rules. Specifically, this variation plays on the consonances and dissonances in the harmonic series and the subharmonic series | |||
== References == | == References == | ||