20edf: Difference between revisions
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m Mentioned similarity to Gamma |
m stub mbox, add harmonics, make table collapsible |
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{{Infobox ET}} | {{Infobox ET}} | ||
'''20edf''' is very close to the [[Carlos Gamma]] tuning. | '''20edf''' is very close to the [[Carlos Gamma]] tuning. | ||
==Intervals== | ==Intervals== | ||
The first steps up to two just perfect fifths should give a feeling of the granularity of this system… | The first steps up to two just perfect fifths should give a feeling of the granularity of this system… | ||
{| class="wikitable" | {| class="wikitable mw-collapsible" | ||
|+ Intervals of 20edf | |||
|- | |||
!Degrees | !Degrees | ||
! | !Cents | ||
|- | |- | ||
|1 | |1 | ||
| Line 127: | Line 130: | ||
|1403.91 | |1403.91 | ||
|} | |} | ||
== Harmonics == | |||
{{Harmonics in equal|20|3|2|intervals=prime}} | |||
{{Harmonics in equal|20|3|2|start=12|collapsed=1|intervals=prime}} | |||
{{stub}} | |||
Revision as of 08:37, 19 December 2024
| ← 19edf | 20edf | 21edf → |
20edf is very close to the Carlos Gamma tuning.
Intervals
The first steps up to two just perfect fifths should give a feeling of the granularity of this system…
| Degrees | Cents |
|---|---|
| 1 | 35.1 |
| 2 | 70.2 |
| 3 | 105.29 |
| 4 | 140.39 |
| 5 | 175.49 |
| 6 | 210.59 |
| 7 | 245.68 |
| 8 | 280.78 |
| 9 | 315.88 |
| 10 | 350.98 |
| 11 | 386.075 |
| 12 | 421.17 |
| 13 | 456.27 |
| 14 | 491.37 |
| 15 | 526.47 |
| 16 | 561.56 |
| 17 | 596.66 |
| 18 | 631.76 |
| 19 | 666.86 |
| 20 | 701.955 |
| 21 | 737.05 |
| 22 | 772.15 |
| 23 | 807.25 |
| 24 | 842.35 |
| 25 | 877.44 |
| 26 | 912.54 |
| 27 | 947.64 |
| 28 | 982.74 |
| 29 | 1017.835 |
| 30 | 1052.93 |
| 31 | 1088.03 |
| 32 | 1123.13 |
| 33 | 1158.23 |
| 34 | 1193.32 |
| 35 | 1228.42 |
| 36 | 1263.52 |
| 37 | 1298.62 |
| 38 | 1333.715 |
| 39 | 1368.81 |
| 40 | 1403.91 |
Harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -6.7 | -6.7 | -13.6 | +0.6 | -9.8 | +16.9 | +8.7 | -8.3 | +11.9 | -3.4 | -13.5 |
| Relative (%) | -19.0 | -19.0 | -38.7 | +1.6 | -27.9 | +48.1 | +24.9 | -23.8 | +33.8 | -9.5 | -38.5 | |
| Steps (reduced) |
34 (14) |
54 (14) |
79 (19) |
96 (16) |
118 (18) |
127 (7) |
140 (0) |
145 (5) |
155 (15) |
166 (6) |
169 (9) | |
| Harmonic | 37 | 41 | 43 | 47 | 53 | 59 | 61 | 67 | 71 | 73 | 79 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -3.9 | -6.2 | +16.7 | +3.1 | +5.7 | -4.5 | +8.0 | -14.1 | -9.2 | +12.9 | +16.6 |
| Relative (%) | -11.2 | -17.6 | +47.5 | +8.7 | +16.1 | -12.9 | +22.7 | -40.1 | -26.1 | +36.9 | +47.2 | |
| Steps (reduced) |
178 (18) |
183 (3) |
186 (6) |
190 (10) |
196 (16) |
201 (1) |
203 (3) |
207 (7) |
210 (10) |
212 (12) |
216 (16) | |
|
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