User:Aura/Aura's introduction to 159edo: Difference between revisions
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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. It is also | 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. It is also one of only two traditional diatonic modes in which one is able to perform a complete [[Wikipedia: Vi–ii–V–I|circle progression]]. | ||
==== Dorian ==== | ==== Dorian ==== | ||
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| This dissonant tetrad is an option for imperfect half cadences in the 5-limit | | This dissonant tetrad is an option for imperfect half cadences in the 5-limit | ||
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With the above scale steps and chords, this variation of Dorian in 159edo has a few noteworthy tricks- especially once one considers suspensions, which will have to be covered later in this document. | |||
==== Phrygian ==== | |||
This mode is optimized for 5-limit using a variation on the left-handed Zarlino diatonic scale. | |||
{| class="mw-collapsible mw-collapsed wikitable center-1" | |||
|+ style="font-size: 105%; white-space: nowrap;" | Table of Phrygian notes and intervals | |||
|- | |||
! Interval Name | |||
! Notation (from D) | |||
! Steps from Tonic | |||
! Function | |||
! Corresponding JI | |||
|- | |||
| Perfect Unison | |||
| D | |||
| 0 | |||
| Tonic | |||
| [[1/1]] | |||
|- | |||
| Pythagorean Major Second | |||
| Eb↑ | |||
| 15 | |||
| Distosupercollocant | |||
| [[16/15]] | |||
|- | |||
| Ptolemaic Minor Third | |||
| F↑ | |||
| 42 | |||
| Mesoproximomediant | |||
| [[6/5]] | |||
|- | |||
| Perfect Fourth | |||
| G | |||
| 66 | |||
| Servient (Subdominant) | |||
| [[4/3]] | |||
|- | |||
| Perfect Fifth | |||
| A | |||
| 93 | |||
| Dominant | |||
| [[3/2]] | |||
|- | |||
| Ptolemaic Minor Sixth | |||
| Bb↑ | |||
| 108 | |||
| Mesodistocontramediant | |||
| [[8/5]] | |||
|- | |||
| Pythagorean Minor Seventh | |||
| C | |||
| 132 | |||
| Subtonic (Biservient) | |||
| [[16/9]] | |||
|- | |||
| Perfect Octave | |||
| D | |||
| 159 | |||
| Tonic | |||
| [[2/1]] | |||
|} | |||