12ed12/5
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| ← 11ed12/5 | 12ed12/5 | 13ed12/5 → |
12 equal divisions of 12/5 (12ed12/5) is the tuning system that divides the classic minor tenth (12/5) into a number of equal steps. It is very closely approximated by every second step of 19edo.
Temperaments
12ed12/5 supports the "macro-meantone" temperament which tempers out 15625/15552 in the 12/5.3.4 subgroup. By a weird coincidence, this temperament is very close to a version of meantone with all intervals stretched by about 26%, such that 2/1 becomes approximately 12/5, 3/2 becomes approximately 5/3, and 5/4 becomes approximately 4/3. The ~4:5:6 chord becomes stretched to the point where it is a ~3:4:5 chord. Even MOS patterns are similar to meantone.
Intervals
| Degrees | Cents | "Macrodiatonic" (5L 2s<12/5>) notation | Approximate ratios |
|---|---|---|---|
| 0 | 0.00 | C | 1/1 |
| 1 | 126.303 | C#, Db | 27/25 |
| 2 | 252.607 | D | 125/108 |
| 3 | 378.910 | D#, Eb | 5/4 |
| 4 | 505.214 | E | 4/3 |
| 5 | 631.517 | F | 36/25 |
| 6 | 757.821 | F#, Gb | 25/16, 125/81, 192/125 |
| 7 | 884.124 | G | 5/3 |
| 8 | 1010.428 | G#, Ab | 9/5 |
| 9 | 1136.731 | A | 48/25 |
| 10 | 1263.034 | A#, Bb | 25/12 |
| 11 | 1398.338 | B | 20/9 |
| 12 | 1515.641 | C | 12/5 |