User:TallKite/Solfeges: Difference between revisions

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Rank-2 temperaments have an infinite number of notes, so a solfege can only cover a fraction of them. But often one only uses enough notes to make a MOS scale. [[Pergen|Pergens]] tell us how to use ups and downs to notate them, and the same consonants and vowels can be used. Instead of circles of 5ths, there are fifthchains. Each fifthchain requires its own vowel, so there is a maximum of 5 fifthchains.

Genchains are distinct from fifthchains. Each pergen has one or more genchains, each of which contains one or more fifthchains. However if the octave is split in halves or quarters, the half-octave requires two names, and the pergen needs an additional vowel. The 13 consonants and 5 vowels cover about 20 pergens. Of course, the genchains can only go so far with only 13 consonants. But in general, it's enough to cover all the modes of any reasonably-sized MOS scale.

Genchains are distinct from fifthchains. Each pergen has one or more genchains, each of which contains one or more fifthchains. However if the octave is split in halves or quarters, the half-octave requires two names, and the pergen needs an additional vowel. The 13 consonants and 5 vowels cover about 20 pergens. Of course, the genchains can only extend so far with only 13 consonants. But in general, it's enough to cover all the modes of any reasonably-sized MOS scale.

Sometimes -i and -e mean lift/drop not dup/dud. If so, note that there are no words for uplift, downlift, etc. -i never means mid, so there are only two vowel sequences, not three:

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The EI (enharmonic interval) can be added to or subtracted from any note or interval to get an equivalent note or interval.

A pergen's solfege can suggest an edo's solfege. For example, 22edo supports (P8, P4/3), and the pergen's solfege has 27 notes in it. Since the generator is 3\22, simply apply the genchain to every 3rd edostep of 22edo. The extra 5 names make duplicate names.to do:

~~to do: discuss using numeric solfeges with non-diatonic-friendly MOSes~~

* explain c is P5 - 700¢

* explain the 1st mode always has Sa and not Fa, and the last mode always has Fa and not Sa.

explain c is P5 - 700¢

* make a table of pergens and what MOS scales each one covers

* discuss using numeric solfeges with non-diatonic-friendly MOSes

explain the 1st mode always has Sa and not Fa, and the last mode always has Fa and not Sa.

* for each pergen, list the entire genchain in melodic order, if possible?

* explain temperament naming: can use Aug and Dim syllables to extend the genchains, can use -a- for an omitted prime.

~~Sometimes -i and -e mean lift/drop not dup/dud. If so, note that there are no words for uplift, downlift, etc.~~

make a table of pergens and what MOS scales each one covers

A pergen's solfege can suggest an edo's solfege. For example, 22edo supports (P8, P4/3), and the pergen's solfege has 27 notes in it. Since the generator is 3\22, simply apply the genchain to every 3rd edostep of 22edo. The extra 5 names make duplicate names.

~~To do:~~ for each pergen, list the entire genchain in melodic order, if possible?

=== List of MOS scales ===

@@ Line 9,096: / Line 9,096: @@
 Rank-2 temperaments have an infinite number of notes, so a solfege can only cover a fraction of them. But often one only uses enough notes to make a MOS scale. [[Pergen|Pergens]] tell us how to use ups and downs to notate them, and the same consonants and vowels can be used. Instead of circles of 5ths, there are fifthchains. Each fifthchain requires its own vowel, so there is a maximum of 5 fifthchains.
-Genchains are distinct from fifthchains. Each pergen has one or more genchains, each of which contains one or more fifthchains. However if the octave is split in halves or quarters, the half-octave requires two names, and the pergen needs an additional vowel. The 13 consonants and 5 vowels cover about 20 pergens. Of course, the genchains can only go so far with only 13 consonants. But in general, it's enough to cover all the modes of any reasonably-sized MOS scale.
+Genchains are distinct from fifthchains. Each pergen has one or more genchains, each of which contains one or more fifthchains. However if the octave is split in halves or quarters, the half-octave requires two names, and the pergen needs an additional vowel. The 13 consonants and 5 vowels cover about 20 pergens. Of course, the genchains can only extend so far with only 13 consonants. But in general, it's enough to cover all the modes of any reasonably-sized MOS scale.
 Sometimes -i and -e mean lift/drop not dup/dud. If so, note that there are no words for uplift, downlift, etc. -i never means mid, so there are only two vowel sequences, not three:
@@ Line 9,118: / Line 9,118: @@
 The EI (enharmonic interval) can be added to or subtracted from any note or interval to get an equivalent note or interval.
+A pergen's solfege can suggest an edo's solfege. For example, 22edo supports (P8, P4/3), and the pergen's solfege has 27 notes in it. Since the generator is 3\22, simply apply the genchain to every 3rd edostep of 22edo. The extra 5 names make duplicate names.to do:
-to do: discuss using numeric solfeges with non-diatonic-friendly MOSes
+* explain c is P5 - 700¢
+* explain the 1st mode always has Sa and not Fa, and the last mode always has Fa and not Sa.
-explain c is P5 - 700¢
+* make a table of pergens and what MOS scales each one covers
+* discuss using numeric solfeges with non-diatonic-friendly MOSes
-explain the 1st mode always has Sa and not Fa, and the last mode always has Fa and not Sa.
+* for each pergen, list the entire genchain in melodic order, if possible?
+* explain temperament naming: can use Aug and Dim syllables to extend the genchains, can use -a- for an omitted prime.
-Sometimes -i and -e mean lift/drop not dup/dud. If so, note that there are no words for uplift, downlift, etc.
-make a table of pergens and what MOS scales each one covers
-A pergen's solfege can suggest an edo's solfege. For example, 22edo supports (P8, P4/3), and the pergen's solfege has 27 notes in it. Since the generator is 3\22, simply apply the genchain to every 3rd edostep of 22edo. The extra 5 names make duplicate names.
-To do: for each pergen, list the entire genchain in melodic order, if possible?
 === List of MOS scales ===