Just intonation point: Difference between revisions
m Moving from Category:Abbreviation to Category:Acronyms using Cat-a-lot |
m +links and clarify |
||
| Line 1: | Line 1: | ||
The '''JIP''' ('''just intonation point''') is a special [[tuning map]] that maps every monzo in some subgroup to its span in | The '''JIP''' ('''just intonation point''') is a special [[tuning map]] that maps every [[monzo]] in some [[subgroup]] to its [[span]] in [[cent]]s (or any other logarithmic 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 bracket 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 bracket 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. | ||
| Line 6: | Line 6: | ||
== Units == | == Units == | ||
It may be helpful to think of the units of each entry of the JIP — as with a normal (temperament) tuning map — as c/p (read "cents per prime"), oct/p (read "octaves per prime"), or any other logarithmic pitch unit per prime. | It may be helpful to think of the units of each entry of the JIP — as with a normal (temperament) tuning map — as c/p (read "cents per prime"), oct/p (read "octaves per prime"), or any other logarithmic pitch unit per prime. | ||