Xenharmonic Wiki

2129edo: Difference between revisions

← Older editNewer edit →
VisualWikitext
Til I find out which val supports hemischis
Rework on theory, mentioning the most important comma -- schisma, and remove the obscure, complex commas
Line 3: Line 3:


== Theory ==
== Theory ==
2129et tempers out 95703125/95664294, 5767168/5764801, 47265625/47258883, 67110351/67108864 and 43923/43904 in the 11-limit; 33792000/33787663, 200000/199927, 34034175/34027136, 2250423/2249390, 78125/78078, 1449459/1449175, 1990656/1990625, 67392/67375, [[4225/4224]], 8858304/8857805, 59319/59290 and 4084223/4084101 in the 13-limit.
2129edo is only [[consistent]] to the [[5-odd-limit]], where it tempers out the [[schisma]]. Otherwise its poor approximation to the [[3/1|harmonic 3]] commends itself to a 2.9.7.11.13.… [[subgroup]] interpretation.  


=== Odd harmonics ===
=== Odd harmonics ===
Line 23: Line 23:
|-
|-
| 2.9
| 2.9
| {{monzo|-6749 2129}}
| {{monzo| -6749 2129 }}
| {{val|2129 6749}}
| {{mapping| 2129 6749 }}
| -0.0204
| -0.0204
| 0.0204
| 0.0204
Line 30: Line 30:
|-
|-
| 2.9.15
| 2.9.15
| {{monzo|37 29 -33}}, {{monzo|209 -61 -4}}
| {{monzo| 37 29 -33 }}, {{monzo| 209 -61 -4 }}
| {{val|2129 6749 8318}}
| {{mapping| 2129 6749 8318 }}
| -0.0247
| -0.0247
| 0.0177
| 0.0177
Line 38: Line 38:
| 2.9.15.7
| 2.9.15.7
| 24414062500/24407490807, 13841287201/13839609375, 2199023255552/2197176384375
| 24414062500/24407490807, 13841287201/13839609375, 2199023255552/2197176384375
| {{val|2129 6749 8318 5977}}
| {{mapping| 2129 6749 8318 5977 }}
| -0.0256
| -0.0256
| 0.0154
| 0.0154
Line 45: Line 45:
| 2.9.15.7.11
| 2.9.15.7.11
| 9800/9801, 5767168/5764801, 104857600/104825259, 13841287201/13839609375
| 9800/9801, 5767168/5764801, 104857600/104825259, 13841287201/13839609375
| {{val|2129 6749 8318 5977 7365}}
| {{mapping| 2129 6749 8318 5977 7365 }}
| -0.0162
| -0.0162
| 0.0232
| 0.0232
Line 52: Line 52:
| 2.9.15.7.11.13
| 2.9.15.7.11.13
| 10648/10647, 9801/9800, 196625/196608, 36924979/36905625, 304117528/303807105
| 10648/10647, 9801/9800, 196625/196608, 36924979/36905625, 304117528/303807105
| {{val|2129 6749 8318 5977 7365 7878}}
| {{mapping| 2129 6749 8318 5977 7365 7878 }}
| -0.0075
| -0.0075
| 0.0288
| 0.0288
Line 59: Line 59:
| 2.9.15.7.11.13.17
| 2.9.15.7.11.13.17
| 2431/2430, 10648/10647, 9801/9800, 845325/845152, 297440/297381, 11275335/11275264, 15980544/15978655
| 2431/2430, 10648/10647, 9801/9800, 845325/845152, 297440/297381, 11275335/11275264, 15980544/15978655
| {{val|2129 6749 8318 5977 7365 7878 8702}}
| {{mapping| 2129 6749 8318 5977 7365 7878 8702 }}
| -0.0024
| -0.0024
| 0.0295
| 0.0295
Retrieved from "https://en.xen.wiki/w/2129edo"