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 ==
{{primes in edo|edo=30.103}}
{{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".
 
100ed10 bears a base-10 coincidence aggregate. It's approximates of 2nd and 5th harmonics, which multiply to 10, are steps 30 and 70, which themselves derive form 10ed10.
 
 
[[Category:Edonoi]]
[[Category:Edonoi]]
[[Category:Ed10]]
[[Category:Ed10]]