Just intonation point: Difference between revisions

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	The '''just intonation point''' ('''JIP''') is a special [[tuning map]] that maps every [[monzo]] in some [[subgroup]] to its [[span]] in [[cent]]s (or any other logarithmic [[interval size unit]]), relative to the point 1/1 (which maps to 0 cents).		The '''just intonation point''' ('''JIP'''), also known as '''just tuning map''', is a special [[tuning map]] that maps every [[monzo]] in some [[subgroup]] to its [[span]] in [[cent]]s (or any other logarithmic [[interval size unit]]), relative to the point 1/1 (which maps to 0 cents).

	For instance, in 5-limit JI, the JIP is {{val \| 1200.000 1901.955 2786.314 }}; if we take the {{w\|dot product}} of this tuning map with any monzo, we get its size in cents. Of course, one can always build the JIP using different units than cents.		For instance, in 5-limit JI, the JIP is {{val \| 1200.000 1901.955 2786.314 }}; if we take the {{w\|dot product}} of this tuning map with any monzo, we get its size in cents. Of course, one can always build the JIP using different units than cents.