29edf: Difference between revisions
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'''29EDF''' is the [[EDF|equal division of the just perfect fifth]] into 29 parts of 24.2053 [[cent|cents]] each, corresponding to 49.5758 [[edo]]. It is related to the [[Hemimean clan|sengagen temperament]], which tempers out 3136/3125 and 420175/419904 in the 7-limit. | {{Infobox ET}} | ||
'''29EDF''' is the [[EDF|equal division of the just perfect fifth]] into 29 parts of 24.2053 [[cent|cents]] each, corresponding to 49.5758 [[edo]]. It is related to the [[Hemimean clan#Sengagen|sengagen temperament]], which tempers out 3136/3125 and 420175/419904 in the 7-limit. | |||
{| class="wikitable" | == Harmonics == | ||
{{Harmonics in equal|29|3|2}} | |||
{{Harmonics in equal|29|3|2|start=12|collapsed=1}} | |||
== Intervals == | |||
{| class="wikitable mw-collapsible" | |||
|+ Intervals of 29edf | |||
|- | |- | ||
! | degree | ! | degree | ||
| Line 8: | Line 15: | ||
! | comments | ! | comments | ||
|- | |- | ||
| | | | colspan="2"| 0 | ||
| | '''exact [[1/1]]''' | | | '''exact [[1/1]]''' | ||
| | | | | | ||
| Line 15: | Line 21: | ||
| | 1 | | | 1 | ||
| | 24.2053 | | | 24.2053 | ||
| | | | | 72/71 | ||
| | | | | | ||
|- | |- | ||
| Line 25: | Line 31: | ||
| | 3 | | | 3 | ||
| | 72.6160 | | | 72.6160 | ||
| | | | | [[24/23]] | ||
| | | | | | ||
|- | |- | ||
| | 4 | | | 4 | ||
| | 96.8214 | | | 96.8214 | ||
| | | | | 37/35, 55/52 | ||
| | | | | | ||
|- | |- | ||
| Line 40: | Line 46: | ||
| | 6 | | | 6 | ||
| | 145.2321 | | | 145.2321 | ||
| | | | | 25/23, 37/34 | ||
| | | | | | ||
|- | |- | ||
| Line 60: | Line 66: | ||
| | 10 | | | 10 | ||
| | 242.0534 | | | 242.0534 | ||
| | | | | [[23/20]] | ||
| | | | | | ||
|- | |- | ||
| Line 70: | Line 76: | ||
| | 12 | | | 12 | ||
| | 290.4641 | | | 290.4641 | ||
| | | | | 71/60 | ||
| | | | | | ||
|- | |- | ||
| Line 80: | Line 86: | ||
| | 14 | | | 14 | ||
| | 338.8748 | | | 338.8748 | ||
| | | | | 45/37 | ||
| | | | | | ||
|- | |- | ||
| | 15 | | | 15 | ||
| | 363.0802 | | | 363.0802 | ||
| | | | | 37/30 | ||
| | | | | | ||
|- | |- | ||
| Line 95: | Line 101: | ||
| | 17 | | | 17 | ||
| | 411.4909 | | | 411.4909 | ||
| | | | | 90/71 | ||
| | | | | | ||
|- | |- | ||
| Line 105: | Line 111: | ||
| | 19 | | | 19 | ||
| | 459.9016 | | | 459.9016 | ||
| | | | | [[30/23]] | ||
| | | | | | ||
|- | |- | ||
| | 20 | | | 20 | ||
| | 484.1069 | | | 484.1069 | ||
| | | | | 45/34 | ||
| | | | | | ||
|- | |- | ||
| | 21 | | | 21 | ||
| | 508.3122 | | | 508.3122 | ||
| | | | | 51/38 | ||
| | | | | | ||
|- | |- | ||
| Line 140: | Line 146: | ||
| | 26 | | | 26 | ||
| | 629.3390 | | | 629.3390 | ||
| | | | | [[23/16]] | ||
| | | | | | ||
|- | |- | ||
| Line 169: | Line 175: | ||
|- | |- | ||
|32 | |32 | ||
|774. | |774.5710 | ||
| | | | ||
| | | | ||
| Line 255: | Line 261: | ||
|49 | |49 | ||
|1186.0619 | |1186.0619 | ||
|2/1- | |(2/1-) | ||
| | | | ||
|- | |- | ||
|50 | |50 | ||
|1210.2672 | |1210.2672 | ||
|2/1+ | |(2/1+) | ||
| | | | ||
|- | |- | ||
| Line 284: | Line 290: | ||
|- | |- | ||
|55 | |55 | ||
|1331. | |1331.2940 | ||
|41/19 | |41/19 | ||
| | | | ||
| Line 299: | Line 305: | ||
|- | |- | ||
|58 | |58 | ||
|1403. | |1403.9100 | ||
|exact 9/4 | |exact 9/4 | ||
| | | | ||
| Line 309: | Line 315: | ||
*[[Carlos Gamma|Carlos Gamma (20 EDF)]] | *[[Carlos Gamma|Carlos Gamma (20 EDF)]] | ||
{{todo|expand}} | |||