User talk:CompactStar/Arithmetic MOS scale: Difference between revisions
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: There's also the issue that if "arithmetic" is interpreted as it was used for ADO as originally defined by Shaahin Mohajeri — which was propagated in the arithmetic sequences of the arithmetic tuning systems catalogued by myself, Paul Erlich, and Billy Stiltner back in 2021 — then this is a contradictory name. This is because Shaahin used "arithmetic" as a reference to "arithmetic progressions" which are those where each next entry is found by repeatedly adding the same amount. In our application this amount could be of frequency, pitch, or length (of string or resonating chamber, etc.) (note that Shaahin assumed frequency in his usage). Because MOS involves adding two ''different'' amounts, however, "arithmetic MOS" is a contradiction in terms. I understand that Flora has been using "arithmetic" under an alternative interpretation, referring to the arithmetic mean, as a way to adapt pitch-based concepts to frequency-based concepts, and under this interpretation there is no self-contradiction, however, the original intention and established usage can not be ignored, and they make this extension confusing and problematic. --[[User:Cmloegcmluin|Cmloegcmluin]] ([[User talk:Cmloegcmluin|talk]]) 18:16, 22 March 2023 (UTC) | : There's also the issue that if "arithmetic" is interpreted as it was used for ADO as originally defined by Shaahin Mohajeri — which was propagated in the arithmetic sequences of the arithmetic tuning systems catalogued by myself, Paul Erlich, and Billy Stiltner back in 2021 — then this is a contradictory name. This is because Shaahin used "arithmetic" as a reference to "arithmetic progressions" which are those where each next entry is found by repeatedly adding the same amount. In our application this amount could be of frequency, pitch, or length (of string or resonating chamber, etc.) (note that Shaahin assumed frequency in his usage). Because MOS involves adding two ''different'' amounts, however, "arithmetic MOS" is a contradiction in terms. I understand that Flora has been using "arithmetic" under an alternative interpretation, referring to the arithmetic mean, as a way to adapt pitch-based concepts to frequency-based concepts, and under this interpretation there is no self-contradiction, however, the original intention and established usage can not be ignored, and they make this extension confusing and problematic. --[[User:Cmloegcmluin|Cmloegcmluin]] ([[User talk:Cmloegcmluin|talk]]) 18:16, 22 March 2023 (UTC) | ||
: An alternative name for this concept which would not be problematic in this way would be a "frequency-based moment of symmetry" or FMOS. Similarly, you'd have a LMOS for length-based. But I'm still concerned about the use of "MOS" at all for this, per the concerns Fredg999 expressed above. --[[User:Cmloegcmluin|Cmloegcmluin]] ([[User talk:Cmloegcmluin|talk]]) 18:57, 23 March 2023 (UTC) | |||