User:TallKite/41edo: Difference between revisions

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!31
!31
|-
|-
! colspan="2" |Untempered cents
! colspan="2" |Untempered cents<br>([[Octave reduction|reduced]])
([[Octave reduction|reduced]])
!1200
!1200
!702
!702

Revision as of 21:31, 6 December 2024

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

Approximation of prime harmonics in 41edo
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 -4.8 -14 -5.2 -3.6
Relative (%) +0.0 +1.7 -20 -10 +16 +28 +41 -17 -47 -18 -12
Steps

(reduced)

41

(0)

65

(24)

95

(13)

115

(33)

142

(19)

152

(29)

168

(4)

174

(10)

185

(21)

199

(35)

203

(39)

Approximation of prime harmonics in 41edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Untempered cents
(reduced)
1200 702 386 969 551 841 105 298 628 1030 1145
Error Absolute (¢) +0.0 +0.5 -5.8 -3.0 +4.8 +8.3 +12 -4.8 -14 -5.2 -3.6
Relative (%) +0.0 +1.7 -20 -10 +16 +28 +41 -17 -47 -18 -12
Steps

(reduced)

41

(0)

65

(24)

95

(13)

115

(33)

142

(19)

152

(29)

168

(4)

174

(10)

185

(21)

199

(35)

203

(39)