A consonant class scale is a scale with a consonant interval class, that is, a number n such that all n-step intervals of the scale are "consonances" (of a certain odd limit).

The models for such scales are meantone[5] (in which the 2-step intervals are 5/4 and 4/3), and even better known, meantone[7] (in which the 2-step intervals are 6/5 and 5/4). Harmonizing a diatonic melody by parallel thirds is a commonly used formula that reliably produces beautiful harmony. Consonant class scales are an attempt to generalize this property of the diatonic scale.

Rank-2 consonant class scales[edit]

3-limit[edit]

{4/3, 3/2}[edit]

Augmented[6] (3-step intervals consist of 3 4/3's and 3 3/2's)

5-limit[edit]

{6/5, 5/4}[edit]

Meantone[7] (2-step intervals consist of 4 6/5's and 3 5/4's)
Porcupine[7] (2-step intervals consist of 5 6/5's and 2 5/4's)
Mavila[7] (2-step intervals consist of 3 6/5's and 4 5/4's)
Srutal[10] (3-step intervals consist of 4 6/5's and 6 5/4's)
Negri[10] (3-step intervals consist of 3 6/5's and 7 5/4's)
Blackwood[10] (3-step intervals consist of 5 6/5's and 5 5/4's)
Sensi[11] (3-step intervals consist of 9 6/5's and 2 5/4's)
Orson[13] (4-step intervals consist of 3 6/5's and 10 5/4's)
Godzilla[14] (4-step intervals consist of 8 6/5's and 6 5/4's)
Helmholtz[17] (5-step intervals consist of 8 6/5's and 9 5/4's)
Superpyth[17] (5-step intervals consist of 9 6/5's and 8 5/4's)

{6/5, 4/3}[edit]

Mavila[5] (2-step intervals consist of 1 6/5 and 4 4/3's)
Hanson[7] (2-step intervals consist of 6 6/5's and 1 4/3)
Srutal[8] (3-step intervals consist of 2 6/5's and 6 4/3's)
Doublewide[10] (3-step intervals consist of 8 6/5's and 2 4/3's)

{5/4, 4/3}[edit]

Meantone[5] (2-step intervals consist of 1 5/4 and 4 4/3's)
Porcupine[8] (3-step intervals consist of 3 5/4's and 5 4/3's)
Diminished[8] (3-step intervals consist of 4 5/4's and 4 4/3's)
Mohajira/Maqamic[10] (4-step intervals consist of 2 5/4's and 8 4/3's)
Hanson[11] (4-step intervals consist of 6 5/4's and 5 4/3's)
Tetracot[13] (5-step intervals consist of 4 5/4's and 9 4/3's)

7-limit[edit]

{8/7, 7/6}[edit]

Slendric[5] (1-step intervals consist of 4 8/7's and 1 7/6)
Superpyth[5] (1-step intervals consist of 3 8/7's and 2 7/6's)
Orwell[9] (2-step intervals consist of 1 8/7 and 8 7/6's)
Miracle[10] (2-step intervals consist of 8 8/7's and 2 7/6's)
Pajara[10] (2-step intervals consist of 6 8/7's and 4 7/6's)
Beatles/Maqamic/Hemif[10] (2-step intervals consist of 6 8/7's and 4 7/6's)
Hedgehog[14] (3-step intervals consist of 4 8/7's and 10 7/6's)
Porcupine[15] (3-step intervals consist of 9 8/7's and 6 7/6's)
Augene[15] (3-step intervals consist of 6 8/7's and 9 7/6's)
Meantone[19] (4-step intervals consist of 9 8/7's and 10 7/6's)
Sensi[19] (4-step intervals consist of 6 8/7's and 13 7/6's)

{8/7, 6/5}[edit]

Keemun[4] (aka magical seventh chord)
Gorgo[5] (1-step intervals consist of 4 8/7's and 1 6/5)
Porcupine[8] (2-step intervals consist of 2 8/7's and 6 6/5's)
Armodue[9] (2-step intervals consist of 4 8/7's and 5 6/5's)
Negri[9] (2 step intervals consist of 7 8/7's and 2 6/5's)
Astrology[10] (2-step intervals consist of 8 8/7's and 2 6/5's)
Maqamic[10] (2-step intervals consist of 6 8/7's and 4 7/6's)
Flattone[12] (3-step intervals consist of 3 8/7's and 9 6/5's)
Magic[16] (4-step intervals consist of 4 8/7's and 12 6/5's)
Mohajira[17] (4-step intervals consist of 6 8/7's and 11 6/5's)

{8/7, 5/4}[edit]

Hemithirds[7] (2-step intervals consist of 5 5/4's and 2 8/7's)
Godzilla[9] (2-step intervals consist of 8 7/6's and 1 5/4)
Magic[13] (4-step intervals consist of 1 8/7 and 12 5/4's)

{7/6, 6/5}[edit]

Myna[4] (aka starling tetrad)
Sensi[8] (2-step intervals consist of 2 7/6's and 6 6/5's)
Hedgehog[8] (2-step intervals consist of 4 7/6's and 4 6/5's)
Superpelog[9] (2-step intervals consist of 8 7/6's and 1 6/5)
Negri[9] (2 step intervals consist of 7 7/6's and 2 6/5's)
Meantone[12] (3-step intervals consist of 3 7/6's and 9 6/5's)
Augene[12] (3-step intervals consist of 3 7/6's and 9 6/5's)
Pajara[12] (3-step intervals consist of 6 7/6's and 6 6/5's)
Valentine[16] (4-step intervals consist of 4 7/6's and 12 6/5's)
Muggles[16] (4-step intervals consist of 4 7/6's and 12 6/5's)
Miracle[21] (5-step intervals consist of 13 7/6's and 8 6/5's)

{7/6, 5/4}

Deutone[7] (2-step intervals consist of 2 7/6's and 5 5/4's)
Godzilla[9] (2-step intervals consist of 8 7/6's and 1 5/4)
Superpyth[12] (3-step intervals consist of 9 7/6's and 3 5/4's)

{6/5, 9/7}

Godzilla[9] (3-step intervals consist of 3 6/5's and 6 9/7's)
Superpyth[12] (4-step intervals consist of 4 6/5's and 8 9/7's)

{5/4, 7/5}

Keemun[7] (3-step intervals consist of 2 5/4's and 5 7/5's)

{4/3, 7/5}[edit]

Meantone[7] (3-step intervals consist of 6 4/3's and 1 7/5; both 2-step intervals are also consonant)
Beatles[7] (3-step intervals consist of 5 4/3's and 2 7/5')
Negri[9] (4-step intervals consist of 5 4/3's and 4 7/5's)
Sensi[11] (5-step intervals consist of 4 4/3's and 7 7/5's)
Miracle[11] (5-step intervals consist of 5 4/3's and 6 7/5's)
Magic[16] (7-step intervals consist of 11 4/3's and 5 7/5's)