7edo: Difference between revisions

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'''7-edo''' divides the 1200-cent [[octave]] into 7 equal parts, making its smallest interval [[cent|171.428¢]], or the seventh root of 2. It is the fourth [[prime numbers|prime]] edo, after [[2edo]], [[3edo]] and [[5edo]].

__FORCETOC__

~~__FORCETOC__~~

== Theory ==

== "Neutral diatonic" or ~~"Neutron~~[7]~~" ==~~

'''7-edo''' or "Neutral diatonic" divides the 1200-cent [[octave]] into 7 equal parts, making its smallest interval [[cent|171.428¢]], or the seventh root of 2. It is the fourth [[prime numbers|prime]] edo, after [[2edo]], [[3edo]] and [[5edo]]. It is the third [[The Riemann Zeta Function and Tuning#Zeta EDO lists|zeta integral edo]].

Equal-heptatonic scales are used in non-western music in African cultures as well as an integral part of early Thai and early Chinese music. It has been speculated in "Indian music:history and structure", that the Indian three-sruti interval of 165 cents is close enough to be mistaken for 171 cents. (or 1.71 semitones).

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A Thai xylophone measured by Morton (1974) "varied only plus or minus 5 cents," from 7-TET. A Ugandan Chopi xylophone measured by Haddon (1952) was also tuned to this system.

== Intervals ~~in 7-edo~~ ==

== Intervals ==

7edo can be notated on a five-line staff without accidentals. There is no distinction between Major or Minor; each pitch class is unique.

{| class="wikitable"

|-

! Interval

! Cents

! ~~Closest diatonic <br />~~ interval name

! interval name

! The "neighborhood" of just intervals

|-

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| 7

| 1200

| ~~eighth~~

| octave

| exactly [[2/1]]

|}

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[[:File:7ed2-001.svg|7ed2-001.svg]]

== ~~Related scales~~ ==

== Observations ==

* Related in a lateral way to traditional Thai music. Subset of [[14edo|14 EDO]] and [[21edo|21 EDO]].

Related in a lateral way to traditional Thai music. Subset of [[14edo|14 EDO]] and [[21edo|21 EDO]].

~~=== Notation ===~~

* Rotatable on a five-line staff without accidentals.

~~=== Harmony ===~~

~~There is no distinction between Major or Minor; each pitch class is unique.~~

~~=== Melody ===~~

There is a neutral feel between whole tone scale and major/minor diatonic scale. The second (171.429 c) works well as a basic step for melodic progression.

The step from seventh to octave is too large for the leading tone.

==~~= Relative tuning accuracy ===~~

== Notation ==

~~7-edo is the third [[The Riemann Zeta Function and Tuning#Zeta EDO lists|zeta integral edo]].~~

[[William Lynch]] proposes using numbers 1 through 7 as the nominals of 7 ET with sharp signs being possible to expand to [[14edo|14 EDO]] or even [[21edo|21 EDO]].

~~== Alphabet~~ ==

[[William Lynch]] proposes using numbers 1 through 7 as the nominals of 7 ET with # signs being possible to expand to [[14edo|14 EDO]] or even [[21edo|21 EDO]].

The alphabet can be written in three ways:

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* In Japanese number abbreviations: い　に　さん　し　ご　ろ　な　い

* In Chinese/Kanji numbers: 一二三四五六七　

~~== Ear Training ==~~

~~7 EDO ear-training exercises by Alex Ness available [https://drive.google.com/folderview?id=0BwsXD8q2VCYUT3VEZUVmeVZUcmc&usp=drive_web#list here].~~

== Commas ==

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* [http://media.soundcloud.com/stream/IUcgFYhtu3Rk?stream_token=4QIvd Sävelmä] by [http://soundcloud.com/juhani-nuorvala/s-velm-long-version Juhani Nuorvala]

* [https://soundcloud.com/santiagocosentino/rock-in-7edo Rock in 7edo by Santiago Cosentino]

== Ear Training ==

7 EDO ear-training exercises by Alex Ness available [https://drive.google.com/folderview?id=0BwsXD8q2VCYUT3VEZUVmeVZUcmc&usp=drive_web#list here].

[[Category:7-tone]]

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 }}
-'''7-edo''' divides the 1200-cent [[octave]] into 7 equal parts, making its smallest interval [[cent|171.428¢]], or the seventh root of 2. It is the fourth [[prime numbers|prime]] edo, after [[2edo]], [[3edo]] and [[5edo]].
+__FORCETOC__
-__FORCETOC__
+== Theory ==
-== "Neutral diatonic" or "Neutron[7]" ==
+'''7-edo''' or "Neutral diatonic" divides the 1200-cent [[octave]] into 7 equal parts, making its smallest interval [[cent|171.428¢]], or the seventh root of 2. It is the fourth [[prime numbers|prime]] edo, after [[2edo]], [[3edo]] and [[5edo]]. It is the third [[The Riemann Zeta Function and Tuning#Zeta EDO lists|zeta integral edo]].
 Equal-heptatonic scales are used in non-western music in African cultures as well as an integral part of early Thai and early Chinese music. It has been speculated in "Indian music:history and structure", that the Indian three-sruti interval of 165 cents is close enough to be mistaken for 171 cents. (or 1.71 semitones).
@@ Line 26: / Line 26: @@
 A Thai xylophone measured by Morton (1974) "varied only plus or minus 5 cents," from 7-TET. A Ugandan Chopi xylophone measured by Haddon (1952) was also tuned to this system.
-== Intervals in 7-edo ==
+== Intervals ==
+edo can be notated on a five-line staff without accidentals. There is no distinction between Major or Minor; each pitch class is unique.
 {| class="wikitable"
 |-
 ! Interval
 ! Cents
-! Closest diatonic <br /> interval name
+! interval name
 ! The "neighborhood" of just intervals
 |-
@@ Line 74: / Line 74: @@
 | 7
 | 1200
-| eighth
+| octave
 | exactly [[2/1]]
 |}
@@ Line 82: / Line 82: @@
 [[:File:7ed2-001.svg|7ed2-001.svg]]
-== Related scales ==
+== Observations ==
-* Related in a lateral way to traditional Thai music. Subset of [[14edo|14 EDO]] and [[21edo|21 EDO]].
+Related in a lateral way to traditional Thai music. Subset of [[14edo|14 EDO]] and [[21edo|21 EDO]].
-=== Notation ===
-* Rotatable on a five-line staff without accidentals.
-=== Harmony ===
-There is no distinction between Major or Minor; each pitch class is unique.
-=== Melody ===
 There is a neutral feel between whole tone scale and major/minor diatonic scale. The second (171.429 c) works well as a basic step for melodic progression.
 The step from seventh to octave is too large for the leading tone.
-=== Relative tuning accuracy ===
+== Notation ==
--edo is the third [[The Riemann Zeta Function and Tuning#Zeta EDO lists|zeta integral edo]].
+[[William Lynch]] proposes using numbers 1 through 7 as the nominals of 7 ET with sharp signs being possible to expand to [[14edo|14 EDO]] or even [[21edo|21 EDO]].
-== Alphabet ==
-[[William Lynch]] proposes using numbers 1 through 7 as the nominals of 7 ET with # signs being possible to expand to [[14edo|14 EDO]] or even [[21edo|21 EDO]].
 The alphabet can be written in three ways:
@@ Line 107: / Line 97: @@
 * In Japanese number abbreviations: い　に　さん　し　ご　ろ　な　い
 * In Chinese/Kanji numbers: 一 二 三 四 五 六七
-== Ear Training ==
-EDO ear-training exercises by Alex Ness available [https://drive.google.com/folderview?id=0BwsXD8q2VCYUT3VEZUVmeVZUcmc&usp=drive_web#list here].
 == Commas ==
@@ Line 314: / Line 301: @@
 * [http://media.soundcloud.com/stream/IUcgFYhtu3Rk?stream_token=4QIvd Sävelmä] by [http://soundcloud.com/juhani-nuorvala/s-velm-long-version Juhani Nuorvala]
 * [https://soundcloud.com/santiagocosentino/rock-in-7edo Rock in 7edo by Santiago Cosentino]
+== Ear Training ==
+EDO ear-training exercises by Alex Ness available [https://drive.google.com/folderview?id=0BwsXD8q2VCYUT3VEZUVmeVZUcmc&usp=drive_web#list here].
 [[Category:7-tone]]