Steps
The fifth is approximated by 14 steps (700¢), below the just fifth 3/2 (701.96¢) by 1.96¢. ● marks the steps that coincide with the notes of 12-tone equal temperament (every 2th step).
| Step | Cents | 12-tone |
|---|---|---|
| 0 | 0 | ● |
| 1 | 50 | |
| 2 | 100 | ● |
| 3 | 150 | |
| 4 | 200 | ● |
| 5 | 250 | |
| 6 | 300 | ● |
| 7 | 350 | |
| 8 | 400 | ● |
| 9 | 450 | |
| 10 | 500 | ● |
| 11 | 550 | |
| 12 | 600 | ● |
| 13 | 650 | |
| 14 | 700 | ● |
| 15 | 750 | |
| 16 | 800 | ● |
| 17 | 850 | |
| 18 | 900 | ● |
| 19 | 950 | |
| 20 | 1000 | ● |
| 21 | 1050 | |
| 22 | 1100 | ● |
| 23 | 1150 |
Named scales in 24 notes
- Rast 4·3·3·4·4·3·3
- Sikah 3·4·4·3·3·4·3
- Iraq 3·4·3·3·4·4·3
- Bayati / Shur (Persian) 3·3·4·4·2·4·4
- Saba 3·3·2·6·2·4·4
- Huzam 3·4·2·6·2·4·3
- Hijaz 2·6·2·4·2·4·4
- Nahawand 4·2·4·4·2·6·2
- Kurd 2·4·4·4·2·4·4
- Ajam 4·4·2·4·4·4·2
- Hijazkar 2·6·2·4·2·6·2
- Nawa Athar 4·2·6·2·2·6·2
- Segah (Persian) 3·4·3·3·4·4·3
- Mahur · Rast-Panjgah (Persian) 4·4·2·4·4·4·2
- Nava (Persian) 4·2·4·4·3·3·4
- Abu Ata · Dashti · Bayat-e Kord (Persian) 3·3·4·4·2·4·4
- Bayat-e Tork (Persian) 4·4·2·4·4·3·3
- Afshari (Persian) 4·3·3·4·3·3·4
- Bayat-e Esfahan (Persian) 4·2·4·4·3·5·2
- Homayoun (Persian) 3·5·2·4·2·4·4
- Chahargah (Persian) 3·5·2·4·3·5·2
- Neutral blues (3rd and 7th between minor and major) 7·3·4·7·3
Names in 24 notes are textbook approximations of the traditions' own intervals; see each tradition page for its sources.
Sources
The step sizes are arithmetic (1200 ÷ n cents). Named scales and their sources are on the tradition pages.