1554edo: Difference between revisions
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Created page with "{{Infobox ET}} The '''1554 equal divisions of the octave''', or the 1554-tone equal temperament (1554tet), 1554 equal temperament (1554et) when viewed from a regular temperame..." |
m changed EDO intro to ED intro |
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{{Infobox ET}} | {{Infobox ET}} | ||
{{ED intro}} | |||
This system apparently is at its best in the 2.3.11.17 [[subgroup]]. | |||
This system apparently is at its best in the 2.3.11.17 subgroup. | |||
=== Prime harmonics === | |||
{{Harmonics in equal|1554}} | {{Harmonics in equal|1554}} | ||
{{todo|inline=1|explain its xenharmonic value}} | |||
Latest revision as of 06:47, 20 February 2025
| ← 1553edo | 1554edo | 1555edo → |
1554 equal divisions of the octave (abbreviated 1554edo or 1554ed2), also called 1554-tone equal temperament (1554tet) or 1554 equal temperament (1554et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 1554 equal parts of about 0.772 ¢ each. Each step represents a frequency ratio of 21/1554, or the 1554th root of 2.
This system apparently is at its best in the 2.3.11.17 subgroup.
Prime harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.000 | -0.024 | -0.213 | +0.286 | +0.033 | -0.373 | +0.064 | -0.216 | +0.297 | -0.234 | +0.138 |
| Relative (%) | +0.0 | -3.2 | -27.6 | +37.0 | +4.3 | -48.3 | +8.3 | -27.9 | +38.5 | -30.2 | +17.9 | |
| Steps (reduced) |
1554 (0) |
2463 (909) |
3608 (500) |
4363 (1255) |
5376 (714) |
5750 (1088) |
6352 (136) |
6601 (385) |
7030 (814) |
7549 (1333) |
7699 (1483) | |
|
Todo: explain its xenharmonic value |