30103edo: Difference between revisions
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30103edo is consistent in the 11-odd-limit and is otherwise a strong 2.3.5.17 subgroup tuning. | 30103edo is consistent in the 11-odd-limit and is otherwise a strong 2.3.5.17 subgroup tuning. | ||
== Theory == | |||
=== As an interval size measure === | === As an interval size measure === | ||
Since logarithm of 2 in base 10 is equal to 0.30102999..., one step of 30103edo comes exceptionally close to being one step of an otherwise perfectly decimal tuning system, [[100000ed10]], similar to heptameride being one step of [[301edo]] and savart being one step of [[1000ed10]]. It was named '''jot''' by Augustus de Morgan in 1864. | Since logarithm of 2 in base 10 is equal to 0.30102999..., one step of 30103edo comes exceptionally close to being one step of an otherwise perfectly decimal tuning system, [[100000ed10]], similar to heptameride being one step of [[301edo]] and savart being one step of [[1000ed10]]. It was named '''jot''' by Augustus de Morgan in 1864. | ||
Any integer [[Gallery of arithmetic pitch sequences#APS of jots|arithmetic pitch sequence of ''n'' jots]] is technically a subset of | Any integer [[Gallery of arithmetic pitch sequences#APS of jots|arithmetic pitch sequence of ''n'' jots]] is technically a subset of 30103edo, since it is every ''n''th step of 30103edo. | ||
=== Prime harmonics === | === Prime harmonics === | ||