User:TallKite/41edo: Difference between revisions
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!7 | !7 | ||
!11 | !11 | ||
!13 | ![[13/8|13]] | ||
!17 | !17 | ||
!19 | !19 | ||
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! colspan="2" |Untempered cents | ! colspan="2" |Untempered cents | ||
([[Octave reduction|reduced]]) | |||
!1200 | !1200 | ||
!702 | !702 | ||
Revision as of 21:28, 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
| 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) | |
| 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) | |