UD
A UD, or utonal division, is a kind of arithmetic and monotonic tuning.
A UD is a specific (rational) type of ELD.
undertone mode, or under-n scale (equivalent to n-UDO)
n-UDp: n utonal divisions of interval p
An n-EDL is equivalent to a 2n-UDO (therefore EDL cannot be used to represent a UDO with an odd value for n).
| quantity | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
|---|---|---|---|---|---|---|---|---|---|
| frequency | 1.00 | 1.15 | 1.31 | 1.46 | 1.62 | 1.87 | 2.12 | 2.37 | 2.62 |
| pitch | 0.00 | 0.21 | 0.39 | 0.55 | 0.69 | 0.90 | 1.08 | 1.24 | 1.39 |
| length | 1.00 | 0.87 | 0.76 | 0.68 | 0.62 | 0.54 | 0.47 | 0.42 | 0.38 |