49ed7: Difference between revisions
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{{Infobox ET}} | |||
'''49ED7''' is the [[Ed7|equal division of the 7th harmonic]] into 49 parts of 68.7515 [[cent|cents]] each. It is similar to every second step of [[35edo]]. | '''49ED7''' is the [[Ed7|equal division of the 7th harmonic]] into 49 parts of 68.7515 [[cent|cents]] each. It is similar to every second step of [[35edo]]. | ||
{| class="wikitable" | == Intervals == | ||
{| class="wikitable mw-collapsible" | |||
|+ Intervals of 49ed7 | |||
|- | |- | ||
! | degree | ! | degree | ||
| Line 9: | Line 12: | ||
|- | |- | ||
| | 0 | | | 0 | ||
| | 0. | | | 0.00000 | ||
| | '''exact [[1/1]]''' | | | '''exact [[1/1]]''' | ||
| | | | | | ||
| Line 15: | Line 18: | ||
| | 1 | | | 1 | ||
| | 68.75155 | | | 68.75155 | ||
| | [[26/25]] | | | [[26/25]], [[25/24]] | ||
| | | | | | ||
|- | |- | ||
| Line 40: | Line 43: | ||
| | 6 | | | 6 | ||
| | 412.50929 | | | 412.50929 | ||
| | | | | 33/26 | ||
| | | | | | ||
|- | |- | ||
| | 7 | | | 7 | ||
| | 481.26084 | | | 481.26084 | ||
| | | | | 33/25, 119/90 | ||
| | | | | | ||
|- | |- | ||
| Line 55: | Line 58: | ||
| | 9 | | | 9 | ||
| | 618.76394 | | | 618.76394 | ||
| | [[10/7]] | | | [[10/7]], 63/44 | ||
| | | | | | ||
|- | |- | ||
| | 10 | | | 10 | ||
| | 687.51549 | | | 687.51549 | ||
| | | | | 49/33 | ||
| | | | | | ||
|- | |- | ||
| | 11 | | | 11 | ||
| | 756.26704 | | | 756.26704 | ||
| | | | | 161/104 | ||
| | | | | | ||
|- | |- | ||
| | 12 | | | 12 | ||
| | 825.01859 | | | 825.01859 | ||
| | | | | 161/100 | ||
| | | | | | ||
|- | |- | ||
| | 13 | | | 13 | ||
| | 893.77014 | | | 893.77014 | ||
| | | | | 77/46, 161/96 | ||
| | | | | | ||
|- | |- | ||
| | 14 | | | 14 | ||
| | 962.52169 | | | 962.52169 | ||
| | | | | 68/39 | ||
| | | | | | ||
|- | |- | ||
| Line 95: | Line 98: | ||
| | 17 | | | 17 | ||
| | 1168.77633 | | | 1168.77633 | ||
| | 100/51 | | | 100/51, 51/26, 108/55, 55/28, 112/57 | ||
| | | | | | ||
|- | |- | ||
| | 18 | | | 18 | ||
| | 1237.52788 | | | 1237.52788 | ||
| | [[50/49|100/49]] | | | [[50/49|100/49]], [[49/48|49/24]], [[45/44|45/22]] | ||
| | | | | | ||
|- | |- | ||
| Line 110: | Line 113: | ||
| | 20 | | | 20 | ||
| | 1375.03098 | | | 1375.03098 | ||
| | | | | 133/60 | ||
| | | | | | ||
|- | |- | ||
| Line 140: | Line 143: | ||
| | 26 | | | 26 | ||
| | 1787.54028 | | | 1787.54028 | ||
| | | | | 160/57 | ||
| | | | | | ||
|- | |- | ||
| | 27 | | | 27 | ||
| | 1856.29183 | | | 1856.29183 | ||
| | | | | 35/12 | ||
| | | | | | ||
|- | |- | ||
| | 28 | | | 28 | ||
| | 1925.04338 | | | 1925.04338 | ||
| | | | | 70/23 | ||
| | | | | | ||
|- | |- | ||
| Line 175: | Line 178: | ||
| | 33 | | | 33 | ||
| | 2268.80112 | | | 2268.80112 | ||
| | | | | 63/17 | ||
| | | | | | ||
|- | |- | ||
| Line 185: | Line 188: | ||
| | 35 | | | 35 | ||
| | 2406.30422 | | | 2406.30422 | ||
| | | | | 273/68 | ||
| | | | | | ||
|- | |- | ||
| | 36 | | | 36 | ||
| | 2475.05577 | | | 2475.05577 | ||
| | 96/23 | | | 96/23, 46/11 | ||
| | | | | | ||
|- | |- | ||
| Line 205: | Line 208: | ||
| | 39 | | | 39 | ||
| | 2681.31042 | | | 2681.31042 | ||
| | | | | 33/7 | ||
| | | | | | ||
|- | |- | ||
| | 40 | | | 40 | ||
| | 2750.06196 | | | 2750.06196 | ||
| | [[49/40|49/10]] | | | [[11/9|44/9]], [[49/40|49/10]] | ||
| | | | | | ||
|- | |- | ||
| Line 220: | Line 223: | ||
| | 42 | | | 42 | ||
| | 2887.56506 | | | 2887.56506 | ||
| | | | | 90/17, 175/33 | ||
| | | | | | ||
|- | |- | ||
| Line 235: | Line 238: | ||
| | 45 | | | 45 | ||
| | 3093.81971 | | | 3093.81971 | ||
| | | | | 161/27 | ||
| | | | | | ||
|- | |- | ||
| Line 250: | Line 253: | ||
| | 48 | | | 48 | ||
| | 3300.07436 | | | 3300.07436 | ||
| | [[42/25|168/25]] | | | [[42/25|168/25]], 175/26 | ||
| | | | | | ||
|- | |- | ||
| Line 258: | Line 261: | ||
| | [[7/4|harmonic seventh]] plus two octaves | | | [[7/4|harmonic seventh]] plus two octaves | ||
|} | |} | ||
== Harmonics == | |||
{{Harmonics in equal|49|7|1}} | |||
{{Harmonics in equal|49|7|1|collapsed=1|start=12}} | |||
== Music == | == Music == | ||
* [http://soundcloud.com/ahornberg/sets/49ed7 49ed7] by Ahornberg | * [http://soundcloud.com/ahornberg/sets/49ed7 49ed7] by [[Ahornberg]] | ||
{{todo|expand}} | |||
[[Category:Listen]] | |||
[[Category: | |||