|page : Mensuration - the rules||site index|
Our notation standard (1/2)
Rules for a binary division
The ternary sentence
Our notation standard (2/2)
The imperfection process
The alteration process
Imperfection or alteration?
Let's play music!
Previous page: Introduction
Next page: The music
Our notation standard (1/2)We will first study the rules for a division without specifying its level (tempus: breves => semibreves or prolatio: semibreves => minims) or its type (binary or ternary).
|larger note N||larger rest (N)||shorter note n||shorter rest (n)|
Rules for a binary divisionThey are quite simple: V = 2v = 2 without exception!
The ternary sentenceA group of symbols, the value of which is equal to 3, is named a perfection. It's convenient to consider a sentence as a sequence of perfections.
Our notation standard (2/2)Rules C1 et C2 allow us to find milestones in the sentence, which are indeed perfection borders that we will notate by this symbol |
Reading strategyOur goal is to translate all the symbols seen on the original document into their values: N => 3 or less, n => 1 or more, etc.
The imperfection processThe main wish of a large note N is to keep its nominal value, that is, to fill alone a whole perfection. In such a case we will write: | N | = | 3 |
|Last, let's come back for a while to the simpler situation of isolated rests, to bring attention on a notation practice slightly different than our modern one: while we write rests at a standard height, they preferred to include them in the melodic flow, that is to write them at a somewhat intermediate height with respect to neighbouring notes.|
The alteration processRules I1 and I2 don't say anything about the case of two n in sequence, and that's what we'll study now.
Imperfection or alteration?The rules are in principle sufficient to make a choice between imperfection or alteration. More, the perfection dot - also called division dot, which was introduced to force a different evaluation (examples 14 and 15), may always be added to help solving an ambiguity.
Let's play music!I now invite you to browse the next page, where these dry rules are illustrated by more and more realistic examples involving both divisions tempus and prolatio simultaniously.