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Created page with "'''Ed12''' means '''Division of the Twelfth Harmonic (12/1) into n equal parts'''. = Division of the twelfth harmonic into n equal parts = The twelfth harmonic is particularl..." |
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= Division of the twelfth harmonic into n equal parts = | = Division of the twelfth harmonic into n equal parts = | ||
The twelfth harmonic is particularly wide as far as equivalences go. There are (at absolute most) ~3.1 dodecataves within the human hearing range; imagine if that were the case with octaves. If one does indeed deal with | The twelfth harmonic is particularly wide as far as equivalences go. There are (at absolute most) ~3.1 dodecataves within the human hearing range; imagine if that were the case with octaves. If one does indeed deal with dodecatave equivalence, this fact shapes one's musical approach dramatically. Also, the ed12-[[edo]] correspondences fall particularly close to the harmonic series of the NTSC or PAL-M color subcarrier: | ||
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Revision as of 17:55, 5 November 2021
Ed12 means Division of the Twelfth Harmonic (12/1) into n equal parts.
Division of the twelfth harmonic into n equal parts
The twelfth harmonic is particularly wide as far as equivalences go. There are (at absolute most) ~3.1 dodecataves within the human hearing range; imagine if that were the case with octaves. If one does indeed deal with dodecatave equivalence, this fact shapes one's musical approach dramatically. Also, the ed12-edo correspondences fall particularly close to the harmonic series of the NTSC or PAL-M color subcarrier:
| edo | ed12 | NTSC*n | PAL-M*n |
|---|---|---|---|
| 1 | 3.5849625 | 3.579545 MHz | 3.575611 MHz |
| 2 | 7.169925 | 7.158909 | 7.151222 |
| 3 | 10.7548875 | 10.7383635 | 10.726833 |
| 4 | 14.33985 | 14.317818 | 14.302444 |
| 5 | 17.9248125 | 17.8972725 | 17.878055 |
| 6 | 21.509775 | 21.476727 | 21.453666 |
| 7 | 25.0947375 | 25.0561815 | 25.029277 |
| 8 | 28.6797 | 28.635636 | 28.604888 |
| 9 | 32.2646625 | 32.2150905 | 32.180299 |
| 10 | 35.849625 | 35.79545 | 35.75611 |
| 11 | 39.4345875 | 39.3739995 | 39.331521 |
| 12 | 43.01955 | 42.953454 | 42.907332 |
| 13 | 46.6045125 | 46.5329085 | 46.482743 |
| 14 | 50.189475 | 50.112363 | 50.058554 |
| 15 | 53.7744375 | 53.6918175 | 53.634265 |
| 16 | 57.3594 | 57.271272 | 57.209776 |
| 17 | 60.9443625 | 60.8507265 | 60.785487 |
| 18 | 64.529325 | 64.430181 | 64.360598 |
| 19 | 68.1142875 | 68.0096355 | 67.936709 |
| 20 | 71.69925 | 71.58909 | 71.51222 |
| 21 | 75.2842125 | 75.1685445 | 75.087931 |
| 22 | 78.869175 | 78.747999 | 78.663442 |
| 23 | 82.4541375 | 82.3274535 | 82.239153 |
| 24 | 86.0391 | 85.906908 | 85.814664 |
| 25 | 89.6240625 | 89.4863625 | 89.390375 |
| 26 | 93.209025 | 93.065817 | 92.965886 |
| 27 | 96.7939875 | 96.6452715 | 96.541597 |
| 28 | 100.37895 | 100.224726 | 100.117108 |
| 29 | 103.9639125 | 103.8041805 | 103.692819 |
| 30 | 107.548875 | 107.38365 | 107.28633 |
| 31 | 111.1338375 | 110.9630895 | 110.894041 |
| 32 | [[1]] | 114.542544 | 114.437552 |
| 33 | 118.3037625 | 118.1219985 | 118.045263 |
| 34 | 121.888725 | 121.701453 | 121.588774 |
| 35 | 125.4736875 | 125.2809075 | 125.096485 |
| 36 | 129.05865 | 128.860362 | 128.739296 |
| 37 | 132.6436125 | 132.4398165 | 132.247707 |
| 38 | 136.228575 | 136.019271 | 135.860518 |
| 39 | 139.8135375 | 139.5987255 | 135.398929 |
| 40 | [[2]] | 143.17818 | 143.02444 |
| 41 | 146.41815 | 146.7576345 | 146.600151 |
| 42 | 150.568425 | 150.337089 | 150.175862 |
| 43 | 154.0533875 | 153.9165435 | 153.751373 |
| 44 | 157.73835 | 157.495998 | 157.326884 |
| 45 | 161.3233125 | 161.0754525 | 160.902595 |
| 46 | 164.908275 | 164.654907 | 164.478306 |
| 47 | 168.4932375 | 168.2343615 | 168.053817 |
| 48 | 172.0782 | 171.813816 | 171.629328 |
| 49 | 175.6631625 | 175.3932705 | 175.205039 |
| 50 | 179.248125 | 178.972725 | 178.78075 |
| 51 | 182.8330875 | 182.5521795 | 182.356261 |
| 52 | 186.41805 | 186.131634 | 185.931772 |
| 53 | 190.003125 | 189.7110885 | 189.507483 |
| 54 | 193.597975 | 193.290543 | 193.083194 |
| 55 | 197.1729375 | 196.869975 | 196.658705 |
| 56 | 200.7579 | 200.449452 | 200.234216 |