User:Aura/Aura's introduction to 159edo: Difference between revisions
Removed suspensions from the charts, as such chords are not considered basic- perhaps I'll cover those in a separate section. |
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As a consequence of this particular scale structure, you have the following basic chords | As can be seen in the above table, As a consequence of this particular scale structure, you have the following basic chords... | ||
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With the above scale steps and chords, this variation of Ionian in 159edo is considerably more tonally stable than its more familiar counterpart from 12edo and 24edo. | With the above scale steps and chords, this variation of Ionian in 159edo is considerably more tonally stable than its more familiar counterpart from 12edo and 24edo. | ||
==== Dorian ==== | |||
This mode is optimized for 5-limit by means of a different scale. | |||
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|+ style="font-size: 105%; white-space: nowrap;" | Table of Dorian notes and intervals | |||
|- | |||
! Interval Name | |||
! Notation (from D) | |||
! Steps from Tonic | |||
! Function | |||
! Corresponding JI | |||
|- | |||
| Perfect Unison | |||
| D | |||
| 0 | |||
| Tonic | |||
| [[1/1]] | |||
|- | |||
| Pythagorean Major Second | |||
| E | |||
| 27 | |||
| Supertonic (Bidominant) | |||
| [[9/8]] | |||
|- | |||
| Ptolemaic Major Third | |||
| F↑ | |||
| 51 | |||
| Mesoproximomediant | |||
| [[6/5]] | |||
|- | |||
| Perfect Fourth | |||
| G | |||
| 66 | |||
| Servient (Subdominant) | |||
| [[4/3]] | |||
|- | |||
| Perfect Fifth | |||
| A | |||
| 93 | |||
| Dominant | |||
| [[3/2]] | |||
|- | |||
| Pythagorean Major Sixth | |||
| B | |||
| 120 | |||
| Proximocontramediant (Tridominant) | |||
| [[27/16]] | |||
|- | |||
| Ptolemaic Major Seventh | |||
| C | |||
| 132 | |||
| Subtonic (Biservient) | |||
| [[16/9]] | |||
|- | |||
| Perfect Octave | |||
| D | |||
| 159 | |||
| Tonic | |||
| [[2/1]] | |||
|} | |||
Unlike what is expected, the optimized form of Dorian mode is not symmetrical, owing to the need to maintain [[Rothenberg propriety]]. As a consequence of this particular scale structure, you have the following basic chords... | |||