User:TallKite/41edo: Difference between revisions
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An example of how to make hovering over primes reveal their cents through invalid links! BTW the lack of decimal places is deliberate, it's extremely difficult to hear a tenth of a cent, and even harder to care about it! |
→Prime harmonics: another way to show cents |
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| Line 42: | Line 42: | ||
| -17.7 | | -17.7 | ||
| -12.2 | | -12.2 | ||
|- | |||
! colspan="2" |Steps | |||
([[Octave reduction|reduced]]) | |||
|41 | |||
(0) | |||
|65 | |||
(24) | |||
|95 | |||
(13) | |||
|115 | |||
(33) | |||
|142 | |||
(19) | |||
|152 | |||
(29) | |||
|168 | |||
(4) | |||
|174 | |||
(10) | |||
|185 | |||
(21) | |||
|199 | |||
(35) | |||
|203 | |||
(39) | |||
|} | |||
{| class="wikitable" | |||
|+Approximation of prime harmonics in 41edo | |||
! colspan="2" rowspan="2" |Harmonic | |||
!2 | |||
!3 | |||
!5 | |||
!7 | |||
!11 | |||
!13 | |||
!17 | |||
!19 | |||
!23 | |||
!29 | |||
!31 | |||
|- | |||
!0¢ | |||
!702¢ | |||
!386¢ | |||
!969¢ | |||
! | |||
! | |||
! | |||
! | |||
! | |||
! | |||
!1145¢ | |||
|- | |||
! rowspan="2" |Error | |||
!Absolute ([[Cent|¢]]) | |||
| +0.0 | |||
| +0.5 | |||
| -5.8 | |||
| -3.0 | |||
| +4.8 | |||
| +8.3 | |||
| +12.1 | |||
| -4.8 | |||
| -13.6 | |||
| -5.2 | |||
| -3.6 | |||
|- | |||
![[Relative interval error|Relative]] ([[Relative cent|%]]) | |||
| +0.0 | |||
| +1.7 | |||
| -19.9 | |||
| -10.2 | |||
| +16.3 | |||
| +28.2 | |||
| +41.4 | |||
| -16.5 | |||
| -46.6 | |||
| -17.7 | |||
| -12.2 | |||
|- | |- | ||
! colspan="2" |Steps | ! colspan="2" |Steps | ||
Revision as of 18:41, 5 December 2024
Prime harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.0 | +0.5 | -5.8 | -3.0 | +4.8 | +8.3 | +12.1 | -4.8 | -13.6 | -5.2 | -3.6 |
| Relative (%) | +0.0 | +1.7 | -19.9 | -10.2 | +16.3 | +28.2 | +41.4 | -16.5 | -46.6 | -17.7 | -12.2 | |
| Steps
(reduced) |
41
(0) |
65
(24) |
95
(13) |
115
(33) |
142
(19) |
152
(29) |
168
(4) |
174
(10) |
185
(21) |
199
(35) |
203
(39) | |
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0¢ | 702¢ | 386¢ | 969¢ | 1145¢ | ||||||||
| Error | Absolute (¢) | +0.0 | +0.5 | -5.8 | -3.0 | +4.8 | +8.3 | +12.1 | -4.8 | -13.6 | -5.2 | -3.6 |
| Relative (%) | +0.0 | +1.7 | -19.9 | -10.2 | +16.3 | +28.2 | +41.4 | -16.5 | -46.6 | -17.7 | -12.2 | |
| Steps
(reduced) |
41
(0) |
65
(24) |
95
(13) |
115
(33) |
142
(19) |
152
(29) |
168
(4) |
174
(10) |
185
(21) |
199
(35) |
203
(39) | |