1000ed10
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Prime factorization
23 × 53
Step size
3.98631¢
Octave
301\1000ed10 (1199.88¢)
Twelfth
477\1000ed10 (1901.47¢)
Consistency limit
16
Distinct consistency limit
16
| ← 999ed10 | 1000ed10 | 1001ed10 → |
1000ed10, when viewed from a regular temperament perspective, is the tuning system that divides 10/1 into steps of 3.98631 cents each.
Theory
1000ed10 carries interval size measure savart. It is related to 301edo, but with 10/1 instead of 2/1 being just.
It is consistent in the 16-integer-limit. While it shares mapping of 17 with 301edo, it is no longer consistent in that range unlike 301edo.
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | absolute (¢) | -0.12 | -0.48 | -0.24 | +0.12 | -0.60 | -0.39 | -0.36 | -0.97 | +0.00 | -1.57 | -0.72 | +0.23 | -0.51 | -0.36 | -0.48 | -1.79 |
| relative (%) | -3 | -12 | -6 | +3 | -15 | -10 | -9 | -24 | +0 | -39 | -18 | +6 | -13 | -9 | -12 | -45 | |
| Steps (reduced) |
301 (301) |
477 (477) |
602 (602) |
699 (699) |
778 (778) |
845 (845) |
903 (903) |
954 (954) |
1000 (0) |
1041 (41) |
1079 (79) |
1114 (114) |
1146 (146) |
1176 (176) |
1204 (204) |
1230 (230) | |