Ledzo notation: Difference between revisions
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== [[Interval arithmetic]] == | == [[Interval arithmetic]] == | ||
Ledzo notation supports a form of interval arithmetic natively, since intervals are stacked just by adding their monzos together. For example, a major third plus a minor third is a perfect fifth, and that's represented as follows: [-2 0 1⟩ * [1 1 -1⟩ = [-1 1 0⟩. This translates intuitively into the ledzo: -2ac + ab-c = -ab | Ledzo notation supports a form of interval arithmetic natively, since intervals are stacked just by adding their monzos together. For example, a major third plus a minor third is a perfect fifth, and that's represented as follows: [-2 0 1⟩ * [1 1 -1⟩ = [-1 1 0⟩. This translates intuitively into the ledzo: -2ac + ab-c = -ab (note that concatenation here does not mean multiplication in the logarithmic scale this is using, positive entries have a hidden plus sign that is not written!) | ||
== Regular temperaments == | == Regular temperaments == | ||
[[Regular temperaments]] can be notated by taking a, b, c, etc to stand for the [[Majestazic system|tempered primes]] used in the temperament. | [[Regular temperaments]] can be notated by taking a, b, c, etc to stand for the [[Majestazic system|tempered primes]] used in the temperament. | ||