Families of scales

By a family of scales is meant a certain set of scales, finite or infinite, generated according to a regular and exactly specified method. Examples of scale families include:

Just Intonation

Just intonated scales
- Chord cubes
- Combination product sets
  - Dekanies
  - Eikosanies
  - Hexanies
  - Pentadekanies
- Crystal balls
- Highschool scales
- Homothetic JI scales
- Overtone scales (AFDOs)
  - Primodal scales
- Tritriadic scales
- Tonality diamonds
  - Breed diamonds
  - Diaconv scales

Temperament

Temperaments
- Clippers
- Dwarves
  - Especially tempered dwarves
  - Marvelous dwarves
- Elves
- Essentially tempered scales
- Hobbits
  - Moment of symmetry scales
- Lesfip scales
- Regular temperaments
  - Rank-1 temperaments / Equal-step tunings
    - Equal divisions of the octave (EDOs or ED2s)
    - Equal divisions of the third harmonic (EDTs or ED3s)
    - Equal divisions of the fourth harmonic (ED4s)
    - Equal divisions of the fifth harmonic (ED5s)
    - Equal divisions of the sixth harmonic (ED6s)
    - Equal divisions of the seventh harmonic (ED7s)
    - Equal divisions of the eighth harmonic (ED8s)
    - Equal divisions of the ninth harmonic (ED9s)
    - Equal divisions of the tenth harmonic (ED10s)
    - Equal divisions of the eleventh harmonic (ED11s)
    - Equal divisions of the perfect fifth (ED3/2s)
    - Equal divisions of the perfect fourth (ED4/3s)
    - Equal divisions of the major sixth (ED5/3s)
    - Equal divisions of the major third (ED5/4s)
  - Rank-2 temperaments / Linear temperaments
    - Moment of symmetry scales
  - Rank-3 temperaments
  - Rank-4 temperaments

Harmonotonicity

Harmonotonic tunings
- Arithmetic tunings
  - Equal-step tunings
    - Equal divisions of the octave (EDOs)
    - Equal divisions of the third harmonic (EDTs or ED3s)
    - Equal divisions of the fourth harmonic (ED4s)
    - Equal divisions of the fifth harmonic (ED5s)
    - Equal divisions of the sixth harmonic (ED6s)
    - Equal divisions of the seventh harmonic (ED7s)
    - Equal divisions of the eighth harmonic (ED8s)
    - Equal divisions of the ninth harmonic (ED9s)
    - Equal divisions of the tenth harmonic (ED10s)
    - Equal divisions of the eleventh harmonic (ED11s)
    - Equal divisions of the perfect fifth (ED3/2s)
    - Equal divisions of the perfect fourth (ED4/3s)
    - Equal divisions of the major sixth (ED5/3s)
    - Equal divisions of the major third (ED5/4s)
  - Overtone scales (AFDOs)
    - Primodal scales
  - Xenharmonic series

Miscellaneous structures

Cartesian scales
Compound scales
Euler-Fokker genera
Fokker blocks
- Wakalixes
Generator-offset scales
Maximal harmony epimorphic scales
Omniconsonant scales
Scale products and scale powers
Step-nested scales
- Moment of symmetry scales
Yantras