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. 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]]- represented here by the Harmonic Compatibility Rating and Melodic Compatibility Rating columns where 5 is a full-blown friend relative to the root and -5 if a full-blown enemy relative to the root. Note that the Harmonic Compatibility and Melodic Compatibility ratings are based on octave-equivalence, and many of the ratings are speculative at this point, adjustments are to be expected in the future. | [[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]]- represented here by the Harmonic Compatibility Rating and Melodic Compatibility Rating columns where 5 is a full-blown friend relative to the root and -5 if a full-blown enemy relative to the root. Note that the Harmonic Compatibility and Melodic Compatibility ratings are based on octave-equivalence, and many of the ratings are speculative at this point, adjustments are to be expected in the future. | ||
== Interval chart == | == Interval chart == | ||
{| class="mw-collapsible mw-collapsed wikitable center-1" | {| class="mw-collapsible mw-collapsed wikitable center-1" | ||
|+ style=white-space:nowrap | Table of 159edo intervals | |+ style="font-size: 105%; white-space: nowrap;" | Table of 159edo intervals | ||
|- | |- | ||
! Step | ! rowspan="2" | Step | ||
! Cents | ! rowspan="2" | Cents | ||
! colspan="3"| Interval | ! rowspan="2" colspan="3" | Interval names | ||
! | ! colspan="2" | Compatibility rating | ||
! | ! rowspan="2" | Notes | ||
! | |- | ||
! Harmonic | |||
! Melodic | |||
|- | |- | ||
| 0 | | 0 | ||
| Line 21: | Line 23: | ||
| 5 | | 5 | ||
| This interval… | | This interval… | ||
* Is the [[1/1| | * Is the [[1/1|perfect unison]], and thus… | ||
:* Is the basic representation of a given chord's root | :* Is the basic representation of a given chord's root | ||
:* Is the basic representation of the Tonic | :* Is the basic representation of the Tonic | ||
| Line 2,524: | Line 2,526: | ||
:* Is one of four perfect consonances in this system | :* Is one of four perfect consonances in this system | ||
* Is the most common [[equave]] due in part to the properties human hearing in relation to pitch-chroma matching | * Is the most common [[equave]] due in part to the properties human hearing in relation to pitch-chroma matching | ||
|} | |} | ||
| Line 2,533: | Line 2,534: | ||
{| class="mw-collapsible mw-collapsed wikitable center-1" | {| class="mw-collapsible mw-collapsed wikitable center-1" | ||
|+ style=white-space:nowrap | Table of 159edo Trines | |+ style="font-size: 105%; white-space: nowrap;" | Table of 159edo Trines | ||
|- | |- | ||
! Name | ! Name | ||
| Line 2,792: | Line 2,793: | ||
| 1/(12:17:24) | | 1/(12:17:24) | ||
| This trine is very likely to be used as a partial basis for suspended chords | | This trine is very likely to be used as a partial basis for suspended chords | ||
|} | |} | ||
| Line 2,798: | Line 2,798: | ||
{| class="mw-collapsible mw-collapsed wikitable center-1" | {| class="mw-collapsible mw-collapsed wikitable center-1" | ||
|+ style=white-space:nowrap | Table of 159edo Triads | |+ style="font-size: 105%; white-space: nowrap;" | Table of 159edo Triads | ||
|- | |- | ||
! Name | ! Name | ||
| Line 2,877: | Line 2,877: | ||
| 100:117:150 | | 100:117:150 | ||
| This subminor triad is inherited from 53edo, so if you're familiar enough with that system, you should know how this works | | This subminor triad is inherited from 53edo, so if you're familiar enough with that system, you should know how this works | ||
|} | |} | ||
[[Category:159edo]] | [[Category:159edo]] | ||
[[Category:Interval naming]] | [[Category:Interval naming]] | ||