22edo/Eliora's approach

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Main article: 22edo


This notation assumes naming the 22 notes after the Major Arcana in Tarot, with the base note being 0 or 22 = The Fool. There are no sharps or flats, as the notation is bijective.

Table of intervals

Degree Cents Major Arcana Notation
0 0.000 The Fool
1 54.545 The Magician
2 109.091 The High Priestess
3 163.636 The Empress
4 218.182 The Emperor
5 272.737 The Hierophant
6 327.273 The Lovers
7 381.818 The Chariot
8 436.364 Justice
9 490.909 The Hermit
10 545.455 Wheel of Fortune
11 600.000 Strength
12 654.545 The Hanged Man
13 709.091 Death
14 763.636 Temperance
15 818.182 The Devil
16 872.727 The Tower
17 927.273 The Star
18 981.818 The Moon
19 1036.364 The Sun
20 1090.909 Judgement
21 1145.455 The World
22 1200.000 The Fool (2/1)

Base chord into which everything resolves

The conventional approach would be to take the "just" triad 4:5:6 and its inversion, which would result in 0-7-13 and 0-6-13 chords, respectively. However, The Lovers are sharp of just 6/5, making them neutralized or superminor. This is in contrast to the 12edo, where minor third is flat of 6/5, which creates a lower brightness and aligns with the feeling of minor.

As such, 4:5:6 triad is not consonant in this approach. Below some of the variant triads are shown.

5:6:7 triad

A triad which makes more sense to take as the main one would be 5:6:7, represented as 0-6-11, thus meaning it's subtended by a 600 cent tritone representing 7/5. The "major" version of this would be quite stretched, so it would align with feeling "major" by tonal brightness.

This triad can be used in any period-2 temperament that 22edo provides. In addition, it doubles the property of the tritone being consonant in this instance.

14:18:21 triad

The 1/1-9/7-3/2 triad uses the 9/7 interval as the major third, and arises from the 4414441 superpyth scale. This is the more diatonic-normative approach.

In this case, since minor version is otonal (6:7:9), it is consonant, as opposed to the inversion of 4:5:6.

Orwell tetrad

0-5-10-15 is the equidistant chord that is associated with the orwell temperament, which 22edo supports. As such, it can be used as well.

Rank-2 temperaments


In this approach, Orson will refer to not just 5-limit orwell, but also the way of playing orwell that favors the 0-6-13 and 0-7-13 triads as the main resolution destinations, as opposed to the 0-5-10-15 triad.


Hedgehog is to be used with the 5:6:7 triad, which it contains on the brightest mode in the Hedgehog[8] scale.