100ed10: Difference between revisions
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100ed10 can be labeled as a "Homo sapiens tunning", by analogy of how [[27edt|27ed3]] is labeled "Klingon tuning". | 100ed10 can be labeled as a "Homo sapiens tunning", by analogy of how [[27edt|27ed3]] is labeled "Klingon tuning". | ||
== Theory == | == Theory == | ||
{{ | {{Harmonics in equal|100|10}} | ||
The step error of any given harmonic in 100ed10 can be simply extracted through 3rd and 4th base digits of the decimal logarithm. | The step error of any given harmonic in 100ed10 can be simply extracted through 3rd and 4th base digits of the decimal logarithm. | ||
100ed10 is suitable for use with the 2.5.11.17 subgroup, a significant departure from it simply being "30edo with stretched octaves". | 100ed10 contains a unique coincidence - it is contorted order-10 in the 2.5 subgroup, which makes up the number 10. In the 2.3.5, it is contorted order-2. While in the 7-limit it no longer has contorsion, the individual harmonics still do derive from smaller ED10s - 2.7 subgroup is contorted order-5. 100ed10 is suitable for use with the 2.5.11.17 subgroup, a significant departure from it simply being "30edo with stretched octaves". | ||
[[Category:Edonoi]] | [[Category:Edonoi]] | ||
[[Category:Ed10]] | [[Category:Ed10]] |