Talk:Periods and generators: Difference between revisions
→Stacks of Generators: chain? |
Real use of generators |
||
| Line 14: | Line 14: | ||
:: You probably meant "chain of generators" or "generator chain"? But chain is not better than stack. --[[User:Xenwolf|Xenwolf]] ([[User talk:Xenwolf|talk]]) 08:22, 1 December 2020 (UTC) | :: You probably meant "chain of generators" or "generator chain"? But chain is not better than stack. --[[User:Xenwolf|Xenwolf]] ([[User talk:Xenwolf|talk]]) 08:22, 1 December 2020 (UTC) | ||
::: No, I did not mean anything related to stack vs. chain. Where? Please also read next paragraph. — [[User:SAKryukov|SA]], ''Wednesday 2020 December 2, 05:49 UTC'' | |||
Here is the real use of the generators: it is simply a basis made of 1, 2 or more ''different" intervals, or rational numbers, which is the same in the given context. Due to the commutative commutative properties of the rational number arithmetic, we can take a base frequency and multiply it by any number of numbers from the generator set any number of times ''in any order'', we obtain resulting frequency. If we apply the same operation to the base frequency in all possible combination, we obtain the resulting set of frequencies "generated" from a base frequency with a given generator set. This way, the set of the generators is not a "stack" and not a "chain". — [[User:SAKryukov|SA]], ''Wednesday 2020 December 2, 05:49 UTC'' | |||