1000ed10: Difference between revisions
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Created page with "{{Infobox ET}} 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 c..." |
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1000ed10, when viewed from a regular temperament perspective, is the tuning system that divides [[10/1]] into steps of 3.98631 cents each. | 1000ed10, when viewed from a regular temperament perspective, is the tuning system that divides [[10/1]] into steps of 3.98631 cents each. | ||
==Theory== | ==Theory== | ||
1000ed10 carries interval size measure savart. It is related to 301edo, but with 10/1 instead of 2/1 being just. | 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. | 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=== | ===Harmonics=== | ||
{{harmonics in equal| | {{harmonics in equal|1000|10|columns=16}} | ||
[[Category:Ed10]] | [[Category:Ed10]] | ||
[[Category:Edonoi]] | [[Category:Edonoi]] | ||
Revision as of 11:30, 13 October 2022
| ← 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 (%) | -3.0 | -12.1 | -6.0 | +3.0 | -15.1 | -9.8 | -9.0 | -24.3 | +0.0 | -39.3 | -18.1 | +5.7 | -12.8 | -9.1 | -12.0 | -44.9 | |
| 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) | |