User:TallKite/41edo: Difference between revisions

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Prime harmonics: another way to show cents
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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 ===
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|+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]]
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| +4.8
| +4.8
| +8.3
| +8.3
| +12.1
| +12
| -4.8
| -4.8
| -13.6
| -14
| -5.2
| -5.2
| -3.6
| -3.6
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| +0.0
| +0.0
| +1.7
| +1.7
| -19.9
| -20
| -10.2
| -10
| +16.3
| +16
| +28.2
| +28
| +41.4
| +41
| -16.5
| -17
| -46.6
| -47
| -17.7
| -18
| -12.2
| -12
|-
|-
! colspan="2" |Steps
! colspan="2" |Steps
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{| class="wikitable"
{| class="wikitable"
|+Approximation of prime harmonics in 41edo
|+Approximation of prime harmonics in 41edo
! colspan="2" rowspan="2" |Harmonic
! colspan="2" |Harmonic
!2
!2
!3
!3
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!7
!7
!11
!11
!13
![[13/8|13]]
!17
!17
!19
!19
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!31
!31
|-
|-
!
! colspan="2" |Just cents ([[Octave reduction|reduced]])
!702¢
!1200
!386¢
!702
!969¢
!386
!
!969
!
!551
!
!841
!
!105
!
!298
!
!628
!1145¢
!1030
!1145
|-
|-
! rowspan="2" |Error
! rowspan="2" |Error
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|  +4.8
|  +4.8
|  +8.3
|  +8.3
|  +12.1
|  +12
|  -4.8
|  -4.8
|  -13.6
|  -14
|  -5.2
|  -5.2
|  -3.6
|  -3.6
Line 112: Line 114:
|  +0.0
|  +0.0
|  +1.7
|  +1.7
|  -19.9
|  -20
|  -10.2
|  -10
|  +16.3
|  +16
|  +28.2
|  +28
|  +41.4
|  +41
|  -16.5
|  -17
|  -46.6
|  -47
|  -17.7
|  -18
|  -12.2
|  -12
|-
|-
! colspan="2" |Steps
! colspan="2" |Steps