17edo: Difference between revisions
Reorganize Music, Instruments, and Introductory Materials to be consistent with other EDO pages |
Shoal trivial tuning (wise to put it here?) |
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Since the intervals of the 2.3.7-subgroup cluster around [[5edo]], a [[Pentatonic Functional Just System|pentatonic system of interval classification]] may be preferred over the [[heptatonic]] one, with [[7/6]] becoming a major interval and [[8/7]]~[[9/8]] becoming a minor one. | Since the intervals of the 2.3.7-subgroup cluster around [[5edo]], a [[Pentatonic Functional Just System|pentatonic system of interval classification]] may be preferred over the [[heptatonic]] one, with [[7/6]] becoming a major interval and [[8/7]]~[[9/8]] becoming a minor one. | ||
Of course, scales generated by the perfect fifth are not the only scales 17edo contains. Another type of scale is [[neutral third scales]], which are generated by half a fifth (5\17), and take the mos patterns [[4L 3s]] (mosh) and [[7L 3s]] (dicoid). Other notable scales include that of [[bleu]] (generated by 2\17), and [[skwares]] (generated by 6\17). Non-mos scales also exist; a more complete list can be found in the [[#Scales]] section. | Of course, scales generated by the perfect fifth are not the only scales 17edo contains. Another type of scale is [[neutral third scales]], which are generated by half a fifth (5\17), and take the mos patterns [[4L 3s]] (mosh) and [[7L 3s]] (dicoid). Other notable scales include that of [[bleu]] and [[glacier]] (generated by 2\17), and [[skwares]] (generated by 6\17). Non-mos scales also exist; a more complete list can be found in the [[#Scales]] section. | ||
Because the 5th harmonic is not well | Because the 5th harmonic is not well approximated, using timbres with attenuated 5th harmonics (and its multiples) may reduce audible beating. | ||
=== Odd harmonics === | === Odd harmonics === | ||
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| 66.765 | | 66.765 | ||
| Sasawa | | Sasawa | ||
| [[ | | [[Gothic comma]] | ||
|- | |- | ||
| 5 | | 5 | ||
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| Sogu 2nd | | Sogu 2nd | ||
| Diatisma | | Diatisma | ||
|- | |||
|23 | |||
|[[208/207]] | |||
|[4 -2 0 0 0 1 0 0 -1⟩ | |||
|8.343 | |||
|Twethutho 2nd | |||
|Vicetone comma | |||
|} | |} | ||
<references group="note" /> | <references group="note" /> | ||
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| 8/7~9/8 | | 8/7~9/8 | ||
| [[Machine]] | | [[Machine]] | ||
|- | |||
|1 | |||
|3\17 | |||
|211.76 | |||
|26/23 | |||
|[[Shoal|Shoal (trivial tuning)]] | |||
|- | |- | ||
| 1 | | 1 | ||