159edo/Interval names and harmonies: Difference between revisions
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:* Is the reduplication of the Tonic in this system | :* Is the reduplication of the Tonic in this system | ||
:* 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 | * Is the most common [[equave]] due in part to the properties human hearing in relation to pitch-chroma matching | ||
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== Harmonies == | == Harmonies == | ||
Harmonies in 159edo frequently have to follow a variation on the Dinner Party Rules. However, working with these rules in a system like this requires a more detailed list of "friends" and "enemies". | Harmonies in 159edo frequently have to follow a variation on the Dinner Party Rules. However, working with these rules in a system like this requires a more detailed list of "friends" and "enemies". Thus, what will be listed here are a series of basic trines, triads and tetrads. | ||
{| class="mw-collapsible mw-collapsed wikitable center-1" | |||
|+ style=white-space:nowrap | Incomplete Table of 159edo Trines | |||
|- | |||
! Name | |||
! Notation (from D) | |||
! Steps | |||
! Approximate JI | |||
! Notes | |||
|- | |||
| Otonal Perfect | |||
| D, A, D | |||
| 0, 93, 0 | |||
| 2:3:4 | |||
| This is the first of one of two fully-resolved Medieval trines | |||
|- | |||
| Utonal Perfect | |||
| D, G, D | |||
| 0, 66, 0 | |||
| 1/(2:3:4) | |||
| This is the second of one of two fully-resolved Medieval trines | |||
|- | |||
| Otonal Archagall | |||
| D, G\, D | |||
| 0, 65, 0 | |||
| 64:85:128 | |||
| | |||
|- | |||
| Utonal Archagall | |||
| D, A/, D | |||
| 0, 94, 0 | |||
| 1/(64:85:128) | |||
| This trine forms the root and fifth of many t<IV chords | |||
|- | |||
|} | |||
== References == | == References == | ||