1517edo: Difference between revisions

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{{Infobox ET}}
{{Infobox ET}}
The '''1517 equal divisions of the octave''', or the 1517-tone equal temperament (1517tet), 1517 equal temperament (1517et) when viewed from a regular temperament perspective, divides the octave into 1517 equal parts of about 0.791 cents each.
{{EDO intro|1517}}


== Theory ==
1517edo is a [[dual-fifth system]] with a [[consistency|consistency limit]] of only 5.


1517edo is a dual fifths system with a consistency limit of only 5.
The first 5 prime harmonics which are approximated below 25% are: 7, 11, 19, 23, 59. In the 2.7.11.19.23.59 [[subgroup]], 1517edo has a comma basis {52877/52864, 157757/157696, 194672/194579, {{monzo| 18 -12  2  1 1  0 }}, {{monzo| 44  -4 -9  1 0 -1 }}}.  
 
The first 5 prime harmonics which are approximated below 25% are: 7, 11, 19, 23, 59. In the 2.7.11.19.23.59 subgroup, 1517edo has a comma basis {52877/52864, 157757/157696, 194672/194579, {{Monzo|18 -12  2  1 1  0}}, {{monzo|44  -4 -9  1 0 -1}}}.  


=== Odd harmonics ===
{{Harmonics in equal|1517}}
{{Harmonics in equal|1517}}
[[Category:Equal divisions of the octave|####]] <!-- 4-digit number -->