# 1000ed10

 ← 999ed10 1000ed10 1001ed10 →
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

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

Approximation of harmonics in 1000ed10
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)