User:MisterShafXen/28ed8/5: Difference between revisions
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Prime factorization
22 × 7
Step size
29.0602 ¢
Octave
41\28ed8/5 (1191.47 ¢)
Twelfth
65\28ed8/5 (1888.91 ¢)
Consistency limit
3
Distinct consistency limit
3
Created page with "{{Infobox ET|28ed8/5}} {{ED intro}} == Harmonics == {{Harmonics in equal|steps=28|num=8|denom=5|intervals=prime}}" Tags: Visual edit Mobile edit Mobile web edit |
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{{Infobox ET|28ed8/5}} | {{Infobox ET|28ed8/5|debug=true}} | ||
{{ED intro}} | |||
== JI == | |||
== Harmonics == | == Harmonics == | ||
{{Harmonics in equal|steps=28|num=8|denom=5|intervals=prime}} | {{Harmonics in equal|steps=28|num=8|denom=5|intervals=prime}} | ||
Latest revision as of 13:35, 6 March 2026
| ← 27ed8/5 | 28ed8/5 | 29ed8/5 → |
28 equal divisions of 8/5 (abbreviated 28ed8/5) is a nonoctave tuning system that divides the interval of 8/5 into 28 equal parts of about 29.1 ¢ each. Each step represents a frequency ratio of (8/5)1/28, or the 28th root of 8/5.
JI
Harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -8.5 | -13.0 | +3.5 | +2.2 | +4.3 | +5.7 | +6.2 | -12.0 | +6.0 | +11.5 | +12.3 |
| Relative (%) | -29.4 | -44.9 | +11.9 | +7.4 | +14.8 | +19.6 | +21.4 | -41.2 | +20.6 | +39.7 | +42.4 | |
| Steps (reduced) |
41 (13) |
65 (9) |
96 (12) |
116 (4) |
143 (3) |
153 (13) |
169 (1) |
175 (7) |
187 (19) |
201 (5) |
205 (9) | |