The Riemann zeta function and tuning: Difference between revisions
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We may define ''local zeta valley'' edos as the opposite of local zeta peak edos (i.e. those with a ''lower'' zeta peak than the edos on either side of them). This is helpful for finding edos that force the use of methods other than traditional concordant harmony, or for composers seeking a challenge to inspire creativity. | We may define ''local zeta valley'' edos as the opposite of local zeta peak edos (i.e. those with a ''lower'' zeta peak than the edos on either side of them). This is helpful for finding edos that force the use of methods other than traditional concordant harmony, or for composers seeking a challenge to inspire creativity. | ||
{{EDOs| 6, 8, 11, 13, 16, 18, 20, 23, 25, 28, 30, 33, 35, 37, | {{EDOs| 6, 8, 11, 13, 16, 18, 20, 23, 25, 28, 30, 33, 35, 37, 39, 42, 44, 47, 49, 52, 54, 57, 59, 61, 64, 66, 69, 71, 73, 76, 78, 81, 83, 86, 88, 90, 92, 95, 97, }} … | ||
==== Indecisive edos ==== | ==== Indecisive edos ==== | ||
Finally, ''indecisive'' edos can be defined as edos which are ''neither'' local zeta peak, nor local zeta valley. For some, these tunings might narrow down the range of compositional choices available so as to be not so many to promote indecision, but not so few as to promote frustration. | Finally, ''indecisive'' edos can be defined as edos which are ''neither'' local zeta peak, nor local zeta valley. For some, these tunings might narrow down the range of compositional choices available so as to be not so many to promote indecision, but not so few as to promote frustration. | ||
{{EDOs| 9, 14, 21, 26, 32, | {{EDOs| 9, 14, 21, 26, 32, 40, 45, 51, 55, 62, 67, 70, 74, 79, 85, 93, 98, }} … | ||
=== Further lists === | === Further lists === | ||