17edo: Difference between revisions

Line 30:

! #

! Cents

! Approximate ~~Ratios†~~

! Approximate Ratios*

! colspan="2" | [[Circle-of-fifths notation|Circle-of-fifths Notation]] *

! colspan="2" | [[Circle-of-fifths notation|Circle-of-fifths Notation]]†

! colspan="3" | [[Ups and Downs Notation]]

! colspan="3" | [[Ups and downs notation|Ups and Downs Notation]]

! colspan="2" | [[3L 4s]] Notation

|-

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| D

|}

<nowiki>*</nowiki> Half-sharps and half-flats (denoted "+" and "d", respectively) can be used to alter the note by a single step, since sharps and flats each span two edo steps. Using half-sharps and half-flats may be preferable for compatibility with the ups-and-downs notation in [[34edo]], in which an up or down respectively constitute a quarter-sharp or quarter-flat.

† Ratios based on treating 17edo as a 2.3.7.11.13.23.25 subgroup temperament.

<nowiki>*</nowiki> Ratios based on treating 17edo as a 2.3.7.11.13.23.25 subgroup temperament.

† Half-sharps and half-flats (denoted "+" and "d", respectively) can be used to alter the note by a single step, since sharps and flats each span two edosteps. Using half-sharps and half-flats may be preferable for compatibility with the ups-and-downs notation in [[34edo]], in which an up or down respectively constitute a quarter-sharp or quarter-flat.

=== Interval quality and chord names in color notation ===

Combining ups and downs notation with [[color notation]], qualities can be loosely associated with colors:

{| class="wikitable center-all"

! ~~quality~~

! Quality

! ~~color~~

! Color

! ~~monzo format~~

! Monzo Format

! ~~examples~~

! Examples

|-

| rowspan="2" | minor

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| 9/7, 12/7

|}

~~=== Chord names ===~~

All 17edo chords can be named using ups and downs. Here are the zo, ilo and ru triads:

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{| class="wikitable center-all"

|-

! [[Kite's color notation|~~color~~ of the 3rd]]

! [[Kite's color notation|Color of the 3rd]]

! JI ~~chord~~

! JI Chord

! ~~notes~~ as ~~edosteps~~

! Notes as Edosteps

! ~~notes~~ of C ~~chord~~

! Notes of C Chord

! ~~written name~~

! Written Name

! ~~spoken name~~

! Spoken Name

|-

| zo

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0-5-10-15 = C vE G vB = C~7 = C mid-seven

For a more complete list, see [[Ups and ~~Downs Notation~~ #Chords and Chord Progressions]].

For a more complete list, see [[Ups and downs notation #Chords and Chord Progressions]].

== Notation ==

@@ Line 30: / Line 30: @@
 ! #
 ! Cents
-! Approximate Ratios†
+! Approximate Ratios*
-! colspan="2" | [[Circle-of-fifths notation|Circle-of-fifths Notation]] *
+! colspan="2" | [[Circle-of-fifths notation|Circle-of-fifths Notation]]†
-! colspan="3" | [[Ups and Downs Notation]]
+! colspan="3" | [[Ups and downs notation|Ups and Downs Notation]]
 ! colspan="2" | [[3L 4s]] Notation
 |-
@@ Line 233: / Line 233: @@
 | D
 |}
-<nowiki>*</nowiki> Half-sharps and half-flats (denoted "+" and "d", respectively) can be used to alter the note by a single step, since sharps and flats each span two edo steps. Using half-sharps and half-flats may be preferable for compatibility with the ups-and-downs notation in [[34edo]], in which an up or down respectively constitute a quarter-sharp or quarter-flat.
-† Ratios based on treating 17edo as a 2.3.7.11.13.23.25 subgroup temperament.
+<nowiki>*</nowiki> Ratios based on treating 17edo as a 2.3.7.11.13.23.25 subgroup temperament.
+† Half-sharps and half-flats (denoted "+" and "d", respectively) can be used to alter the note by a single step, since sharps and flats each span two edosteps. Using half-sharps and half-flats may be preferable for compatibility with the ups-and-downs notation in [[34edo]], in which an up or down respectively constitute a quarter-sharp or quarter-flat.
+=== Interval quality and chord names in color notation ===
 Combining ups and downs notation with [[color notation]], qualities can be loosely associated with colors:
 {| class="wikitable center-all"
-! quality
+! Quality
-! color
+! Color
-! monzo format
+! Monzo Format
-! examples
+! Examples
 |-
 | rowspan="2" | minor
@@ Line 272: / Line 274: @@
 | 9/7, 12/7
 |}
-=== Chord names ===
 All 17edo chords can be named using ups and downs. Here are the zo, ilo and ru triads:
@@ Line 279: / Line 279: @@
 {| class="wikitable center-all"
 |-
-! [[Kite's color notation|color of the 3rd]]
+! [[Kite's color notation|Color of the 3rd]]
-! JI chord
+! JI Chord
-! notes as edosteps
+! Notes as Edosteps
-! notes of C chord
+! Notes of C Chord
-! written name
+! Written Name
-! spoken name
+! Spoken Name
 |-
 | zo
@@ Line 324: / Line 324: @@
 -5-10-15 = C vE G vB = C~7 = C mid-seven
-For a more complete list, see [[Ups and Downs Notation #Chords and Chord Progressions]].
+For a more complete list, see [[Ups and downs notation #Chords and Chord Progressions]].
 == Notation ==