149edo: Difference between revisions

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The ''149 equal division'' divides the octave into 149 equal parts of 8.054 cents each. It provides the [[Optimal_patent_val|optimal patent val]] for 7- 11- 13- and 17-limit [[Sensipent_family|heinz temperament]] and the rank three temperament [[Gamelismic_family|ominous]] in the 13- and 17- limits. It has a generally flat tendency, with the fifth 1.28 cents flat, but the major third is a quarter of a cent sharp. In the 5-limit it tempers out the sensipent comma, 78732/78125; in the 7-limit, 1029/1024, 3136/3125 and 19683/19600; in the 11-limit 385/384 and 441/440; in the 13-limit 351/350 and 676/675; in the 17-limit 273/272 and 561/560; in the 19-limit 286/285 and 343/342.

The ''149 equal division'' divides the octave into 149 equal parts of 8.054 cents each. It is the smallest division which is uniquely [[consistent]] through the 17-limit. It provides the [[Optimal_patent_val|optimal patent val]] for 7- 11- 13- and 17-limit [[Sensipent_family|heinz temperament]] and the rank three temperament [[Gamelismic_family|ominous]] in the 13- and 17- limits. It has a generally flat tendency, with the fifth 1.28 cents flat, but the major third is a quarter of a cent sharp. In the 5-limit it tempers out the sensipent comma, 78732/78125; in the 7-limit, 1029/1024, 3136/3125 and 19683/19600; in the 11-limit 385/384 and 441/440; in the 13-limit 351/350 and 676/675; in the 17-limit 273/272 and 561/560; in the 19-limit 286/285 and 343/342.

149edo is the 35th [[prime EDO]].

Revision as of 10:19, 2 November 2018 view source Xenwolf (talk \| contribs) autopatrolled, Bureaucrats, confirmaccount-notify, Interface administrators, Sysops 8,705 edits cat rename, better link ← Older edit		Revision as of 00:19, 27 June 2020 view source FloraC (talk \| contribs) autopatrolled, Bureaucrats, Interface administrators, Sysops 24,271 edits The smallest edo uniquely consistent in the 17-limit was previously wrongly attributed to 147edo Newer edit →
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	The ''149 equal division'' divides the octave into 149 equal parts of 8.054 cents each. It provides the [[Optimal_patent_val\|optimal patent val]] for 7- 11- 13- and 17-limit [[Sensipent_family\|heinz temperament]] and the rank three temperament [[Gamelismic_family\|ominous]] in the 13- and 17- limits. It has a generally flat tendency, with the fifth 1.28 cents flat, but the major third is a quarter of a cent sharp. In the 5-limit it tempers out the sensipent comma, 78732/78125; in the 7-limit, 1029/1024, 3136/3125 and 19683/19600; in the 11-limit 385/384 and 441/440; in the 13-limit 351/350 and 676/675; in the 17-limit 273/272 and 561/560; in the 19-limit 286/285 and 343/342.		The ''149 equal division'' divides the octave into 149 equal parts of 8.054 cents each. It is the smallest division which is uniquely [[consistent]] through the 17-limit. It provides the [[Optimal_patent_val\|optimal patent val]] for 7- 11- 13- and 17-limit [[Sensipent_family\|heinz temperament]] and the rank three temperament [[Gamelismic_family\|ominous]] in the 13- and 17- limits. It has a generally flat tendency, with the fifth 1.28 cents flat, but the major third is a quarter of a cent sharp. In the 5-limit it tempers out the sensipent comma, 78732/78125; in the 7-limit, 1029/1024, 3136/3125 and 19683/19600; in the 11-limit 385/384 and 441/440; in the 13-limit 351/350 and 676/675; in the 17-limit 273/272 and 561/560; in the 19-limit 286/285 and 343/342.

	149edo is the 35th [[prime EDO]].		149edo is the 35th [[prime EDO]].