User:TallKite/41edo: Difference between revisions
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! |
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Two examples of how I personally prefer to round off cents and percentages to whole numbers or 2 significant figures, whichever is more accurate. | |||
=== Prime harmonics === | === Prime harmonics === | ||
| Line 4: | Line 5: | ||
|+Approximation of prime harmonics in 41edo | |+Approximation of prime harmonics in 41edo | ||
! colspan="2" |Harmonic | ! colspan="2" |Harmonic | ||
!2 | ![[1200¢|2]] | ||
!3 | ![[702¢|3]] | ||
!5 | ![[386¢|5]] | ||
!7 | ![[969¢|7]] | ||
!11 | ![[551¢|11]] | ||
!13 | ![[841¢|13]] | ||
!17 | ![[105¢|17]] | ||
!19 | ![[298¢|19]] | ||
![[628¢|23]] | ![[628¢|23]] | ||
![[1030¢|29]] | ![[1030¢|29]] | ||
| Line 24: | Line 25: | ||
| +4.8 | | +4.8 | ||
| +8.3 | | +8.3 | ||
| +12 | | +12 | ||
| -4.8 | | -4.8 | ||
| - | | -14 | ||
| -5.2 | | -5.2 | ||
| -3.6 | | -3.6 | ||
| Line 33: | Line 34: | ||
| +0.0 | | +0.0 | ||
| +1.7 | | +1.7 | ||
| -19 | | -20 | ||
| - | | -10 | ||
| + | | +16 | ||
| + | | +28 | ||
| + | | +41 | ||
| - | | -17 | ||
| - | | -47 | ||
| - | | -18 | ||
| -12 | | -12 | ||
|- | |||
! 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" |Harmonic | |||
!2 | |||
!3 | |||
!5 | |||
!7 | |||
!11 | |||
![[13/8|13]] | |||
!17 | |||
!19 | |||
!23 | |||
!29 | |||
!31 | |||
|- | |||
! colspan="2" |Just cents ([[Octave reduction|reduced]]) | |||
!1200 | |||
!702 | |||
!386 | |||
!969 | |||
!551 | |||
!841 | |||
!105 | |||
!298 | |||
!628 | |||
!1030 | |||
!1145 | |||
|- | |||
! rowspan="2" |Error | |||
!Absolute ([[Cent|¢]]) | |||
| +0.0 | |||
| +0.5 | |||
| -5.8 | |||
| -3.0 | |||
| +4.8 | |||
| +8.3 | |||
| +12 | |||
| -4.8 | |||
| -14 | |||
| -5.2 | |||
| -3.6 | |||
|- | |||
![[Relative interval error|Relative]] ([[Relative cent|%]]) | |||
| +0.0 | |||
| +1.7 | |||
| -20 | |||
| -10 | |||
| +16 | |||
| +28 | |||
| +41 | |||
| -17 | |||
| -47 | |||
| -18 | |||
| -12 | |||
|- | |- | ||
! colspan="2" |Steps | ! colspan="2" |Steps | ||