Magic extensions: Difference between revisions
Expand |
Expand with explanations |
||
| Line 6: | Line 6: | ||
* '''Witchcraft''' (19e & 22ef) – tempering out 105/104, 196/195, 245/243, and 275/273; | * '''Witchcraft''' (19e & 22ef) – tempering out 105/104, 196/195, 245/243, and 275/273; | ||
* '''Telepathy''' (19e & 22) – tempering out 55/54, 65/64, 91/90, and 99/98. | * '''Telepathy''' (19e & 22) – tempering out 55/54, 65/64, 91/90, and 99/98. | ||
The most important of these is tridecimal magic, where primes 11 and 13 are mapped such that 10/9 and 11/10 are tempered together and that 14/13 and 16/15 are tempered together. Necromancy takes the same mapping of 11 as magic, but swaps in a more complex mapping for 13, enabling the possibility of a higher-accuracy harmony. Similarly, witchcraft takes the same mapping of 13 as magic, but swaps in a more complex mapping for 11. | |||
Sorcery swaps in a less complex and less accurate mapping for prime 13, as it finds ~16/13 where magic will find ~26/21, which is of course conflated with ~5/4. Telepathy adopts less complex and less accurate mapping for both primes 11 and 13. | |||
== Interval chain == | == Interval chain == | ||