Ploidacot: Difference between revisions

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The ploidacot system was developed by [[Praveen Venkataramana]].

== Ploids ==

== Specification ==

Any rank-2 temperament must split the octave into a number of '''ploids''', ~~for~~ instance pajara divides the octave into two so it's diploid. Temperaments that ~~don't~~ divide the octave are called haploid.

=== Ploids ===

Any rank-2 temperament of the 2.3.… subgroup has an octave, and it must split the octave into a number of parts, or [[period]]s, called '''ploids'''. The temperament's number of ploids per octave is specified by a Greek numeral prefix (di-, tri-, etc.) and -ploid. For instance, pajara divides the octave into two, so it is diploid. Temperaments that do not divide the octave are called haploid, which can be omitted.

== Cots ==

=== Cots ===

If [[3/2]] is represented by a linearly independent element to the ploid, there is a number of ploids which when added to 3/2 gives the interval which splits into the largest number of parts by the temperament. Each of these parts is called a '''cot''' or '''cotyledon''' and the ploidacot system uses one or more Greek letters to describe the smallest number of ploids should be added to 3/2 to form a whole number of cots~~, and this~~ number of cots is indicated by a Greek ~~numerical~~ prefix.

If [[3/2]] is represented by a linearly independent element to the ploid, there is a number of ploids which when added to 3/2 gives the interval which splits into the largest number of parts by the temperament. Each of these parts is called a '''cot''' or '''cotyledon''' and the ploidacot system uses one or more Greek letters to describe the smallest number of ploids should be added to 3/2 to form a whole number of cots. This number of cots is indicated by a Greek letter prefix (alpha-, beta-, etc.) and -cot.

Temperaments where the image of 3/2 is a whole number of ploids are called '''acot'''.

=== Greek letter prefixes ===

==== Greek letter prefixes ====

The Greek letter prefixes follow the ancient gematria/isopsephic system, detailed below:

{| class="wikitable"

|+ style="font-size: 105%;" | Greek letter prefixes in ploidacot

@@ Line 3: / Line 3: @@
 The ploidacot system was developed by [[Praveen Venkataramana]].
-== Ploids ==
+== Specification ==
-Any rank-2 temperament must split the octave into a number of '''ploids''', for instance pajara divides the octave into two so it's diploid. Temperaments that don't divide the octave are called haploid.
+=== Ploids ===
+Any rank-2 temperament of the 2.3.… subgroup has an octave, and it must split the octave into a number of parts, or [[period]]s, called '''ploids'''. The temperament's number of ploids per octave is specified by a Greek numeral prefix (di-, tri-, etc.) and -ploid. For instance, pajara divides the octave into two, so it is diploid. Temperaments that do not divide the octave are called haploid, which can be omitted.
-== Cots ==
+=== Cots ===
-If [[3/2]] is represented by a linearly independent element to the ploid, there is a number of ploids which when added to 3/2 gives the interval which splits into the largest number of parts by the temperament. Each of these parts is called a '''cot''' or '''cotyledon''' and the ploidacot system uses one or more Greek letters to describe the smallest number of ploids should be added to 3/2 to form a whole number of cots, and this number of cots is indicated by a Greek numerical prefix.
+If [[3/2]] is represented by a linearly independent element to the ploid, there is a number of ploids which when added to 3/2 gives the interval which splits into the largest number of parts by the temperament. Each of these parts is called a '''cot''' or '''cotyledon''' and the ploidacot system uses one or more Greek letters to describe the smallest number of ploids should be added to 3/2 to form a whole number of cots. This number of cots is indicated by a Greek letter prefix (alpha-, beta-, etc.) and -cot.
 Temperaments where the image of 3/2 is a whole number of ploids are called '''acot'''.
-=== Greek letter prefixes ===
+==== Greek letter prefixes ====
 The Greek letter prefixes follow the ancient gematria/isopsephic system, detailed below:
 {| class="wikitable"
 |+ style="font-size: 105%;" | Greek letter prefixes in ploidacot