Neutral second: Difference between revisions

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In [[just intonation]], an interval may be classified as a neutral second if it is reasonably mapped to 1\7 and 3[[24edo|\24]] (precisely one step of the diatonic scale and one and a half steps of the chromatic scale).
In [[just intonation]], an interval may be classified as a neutral second if it is reasonably mapped to 1\7 and 3[[24edo|\24]] (precisely one step of the diatonic scale and one and a half steps of the chromatic scale).


As a concrete [[interval region]], it is typically near 150 [[cents]] in size, distinct from the [[Semitone (interval region)|semitone]] of roughly 100 [[Cent|cents]] and the [[major second]] of roughly 200 ¢. A rough tuning range for the neutral second is 130 to 170 ¢ according to [[Margo Schulter]]'s theory of interval regions.
As a concrete [[interval region]], it is typically near 150{{cent}} in size, distinct from the [[Semitone (interval region)|semitone]] of roughly 100{{c}} and the [[major second]] of roughly 200{{c}}. A rough tuning range for the neutral second is 130 to 170{{c}} according to [[Margo Schulter]]'s theory of interval regions.


== In just intonation ==
== In just intonation ==
=== By prime limit ===
=== By prime limit ===
The [[3-limit]] and 5-limit do not have simple neutral seconds, so we start with the 7-limit:
The [[3-limit]] and 5-limit do not have simple neutral seconds, so we start with the 7-limit: