268edo: Difference between revisions
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{{Infobox ET}} | {{Infobox ET}} | ||
{{ | {{ED intro}} | ||
== | It is part of the [[optimal ET sequence]] for the [[cypress]], [[lono]], [[skwares]] and [[warrior]] temperaments. | ||
=== Prime harmonics === | |||
{{Harmonics in equal|268}} | {{Harmonics in equal|268}} | ||
{{Stub}} | {{Stub}} | ||
Latest revision as of 06:49, 20 February 2025
| ← 267edo | 268edo | 269edo → |
268 equal divisions of the octave (abbreviated 268edo or 268ed2), also called 268-tone equal temperament (268tet) or 268 equal temperament (268et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 268 equal parts of about 4.48 ¢ each. Each step represents a frequency ratio of 21/268, or the 268th root of 2.
It is part of the optimal ET sequence for the cypress, lono, skwares and warrior temperaments.
Prime harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.00 | +1.03 | -1.24 | -1.66 | -0.57 | +1.26 | -1.97 | -1.99 | -1.41 | +0.27 | +1.23 |
| Relative (%) | +0.0 | +23.0 | -27.7 | -37.1 | -12.8 | +28.2 | -44.0 | -44.5 | -31.5 | +6.1 | +27.5 | |
| Steps (reduced) |
268 (0) |
425 (157) |
622 (86) |
752 (216) |
927 (123) |
992 (188) |
1095 (23) |
1138 (66) |
1212 (140) |
1302 (230) |
1328 (256) | |
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