22edo/Scales
From Xenharmonic Reference
< 22edo
The following is a table of scales in 22edo.
Porcupine scales
MOS scales generated by a nearmajor second.
| Name | Chart | Notes |
|---|---|---|
| Onyx | ├──┴──┴──┴───┴──┴──┴──┤ 3 3 3 4 3 3 3 | The same as the "equable Dorian" discussed above. |
| Pine | ├──┴──┴──┴──┴┴──┴──┴──┤ 3 3 3 3 1 3 3 3 | |
| Roklotic | ├┴─┴┴─┴┴─┴┴─┴┴─┴┴─┴┴─┴┤ 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 | The "Roklotian" scale mentioned in the #Equiheptatonic section; the MOS form is specifically exclusive to the porcupine/22edo-tempered version of the scale. |
Orwell scales
MOS scales generated by a subminor third.
| Name | Chart | Notes |
|---|---|---|
| Manual | ├────┴────┴────┴────┴─┤ 5 5 5 5 2 | The basic pentatonic for Orwell, highlighting its basic structure of stacking subminor thirds. As there are less than seven steps other than the unison, there are no perfect fifths; the fourth degree of this scale may instead be either 8/5 or 16/11. |
| Gramitonic | ├──┴─┴──┴─┴──┴─┴──┴─┴─┤ 3 2 3 2 3 2 3 2 2 | The standard albitonic orwell scale, discussed extensively by Levi McClain (although in its 31edo tuning). As a 9-form scale, it features a contrast between major and minor thirds on the same degree. There are two perfect fifths in the scale. |
| Antiparagonic | ├┴─┴─┴┴─┴─┴┴─┴─┴┴─┴─┴─┤ 1 2 2 1 2 2 1 2 2 1 2 2 2 | A larger, more chromatic-esque orwell scale featuring additional perfect fifths to build chords around. This scale is 13-form, so the seven imperfect fifths are sharp rather than flat. |
Magic scales
MOS scales generated by a nearmajor third.
| Name | Chart | Notes |
|---|---|---|
| Mosh | ├─────┴┴─────┴┴─────┴┴┤ 6 1 6 1 6 1 1 | Ultimately, Magic is 3-form, however that makes for an absurdly small scale; Magic is better conceptualizes as not using MOSes themselves but rather inflecting from MOS-adjacent structures. Magic is additionally unusual in placing 3/2 on the sixth degree of a heptatonic scale, rather than on the fifth degree. |
| Sephiroid | ├────┴┴┴────┴┴┴────┴┴┴┤ 5 1 1 5 1 1 5 1 1 1 | |
| Antiluachoid | ├───┴┴┴┴───┴┴┴┴───┴┴┴┴┤ 4 1 1 1 4 1 1 1 4 1 1 1 1 |
Superpyth scales
MOS scales generated by a perfect fifth.
| Name | Chart | Notes |
|---|---|---|
| Pentic | ├───┴────┴───┴────┴───┤ 4 5 4 5 4 | One of two tunings of pentic available in 22edo. Doubling this offset by the tritone yields pajara[10]; this form of pentic may debatably be considered "equipentatonic". Pentic in 22edo approximates the 12:14:16:18:21:24 "JI equable pentatonic". |
| Mosdiatonic | ├───┴┴───┴───┴───┴┴───┤ 4 1 4 4 4 1 4 | A hard diatonic, with small steps too small to be leading tones yet that serves as the main basis of interval classification in 22edo. |
| P-chromatic | ├──┴┴┴──┴┴──┴┴──┴┴┴──┴┤ 3 1 1 3 1 3 1 3 1 1 3 1 |
Half-octave scales
MOS scales generated against the half-octave.
| Temperament | Name | Chart | Notes |
|---|---|---|---|
| Pajara | jaric | ├─┴─┴──┴─┴─┴─┴─┴──┴─┴─┤ 2 2 3 2 2 2 2 3 2 2 | |
| telluric | ├─┴─┴─┴┴─┴─┴─┴─┴─┴┴─┴─┤ 2 2 2 1 2 2 2 2 2 1 2 2 | Adding two additional notes separates the 5-limit thirds onto different degrees, shared with the septimal ones, making for a much more traditional categorization of 22edo's interval space. | |
| Hedgehog | malic | ├──┴──┴────┴──┴──┴────┤ 3 3 5 3 3 5 | One of three tunings of malic available in 22edo. |
| ekic | ├──┴──┴──┴─┴──┴──┴──┴─┤ 3 3 3 2 3 3 3 2 | ||
| - | ├┴─┴┴─┴┴─┴─┴┴─┴┴─┴┴─┴─┤ 1 2 1 2 1 2 2 1 2 1 2 1 2 2 | ||
| Astrology | citric | ├──┴───┴───┴──┴───┴───┤ 3 4 4 3 4 4 | One of two tunings of citric available in 22edo. |
| lemon | ├──┴──┴┴──┴┴──┴──┴┴──┴┤ 3 3 1 3 1 3 3 1 3 1 | ||
| Doublewide | citric | ├┴────┴────┴┴────┴────┤ 1 5 5 1 5 5 | One of two tunings of citric available in 22edo. Doublewide temperament makes apparent the fact that the subminor and nearminor thirds are equidistant from the 300c 12edo minor third, making the idea of 22edo splitting each of 12edo's qualities the most literally true in this particular case. |
| lime | ├┴┴───┴┴───┴┴┴───┴┴───┤ 1 1 4 1 4 1 1 4 1 4 |
Additional scales
| Name | Chart | Notes |
|---|---|---|
| Zarlino pentatonic | ├─────┴──┴───┴─────┴──┤ 6 3 4 6 3 | One possible pentatonic analog to the Zarlino diatonic. |
| Zarlino | ├─┴───┴──┴───┴─┴───┴──┤ 2 4 3 4 2 4 3 | The 5-limit diatonic in 22edo. |
| Pentachordal pajara | ├─┴─┴──┴─┴─┴─┴──┴─┴─┴─┤ 2 2 3 2 2 2 3 2 2 2 | |
| Tellurian | ├─┴─┴─┴┴─┴─┴─┴─┴┴─┴─┴─┤ 2 2 2 1 2 2 2 2 1 2 2 2 |
