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== Intervals ==
== Intervals ==
{| class="wikitable center-all"
{| class="wikitable center-all"
! Steps
|+ Intervals of 5edo
! [[Degree]]
! [[Cent]]s
! [[Cent]]s
! Closest diatonic <br>interval name
! [[Interval region]]
! The "neighborhood" of just intervals
! Approximated [[JI]] intervals ([[error]] in [[¢]])
! Audio
! Audio
|-
|-
| 0
| 0
| 0
| 0
| unison / prime
| Unison (prime)
| '''1/1'''
| 1/1 (just)
|[[File:0-0 unison.mp3|frameless]]
|[[File:0-0 unison.mp3|frameless]]
|-
|-
| 1
| 1
| 240
| 240
| second, third
| Supermajor second<br>Inframinor third
| +8.826¢ from septimal second [[8/7]] <br>-0.030¢ from [[224/195]] <br>-4.969¢ from diminished third [[144/125]] <br>-13.076¢ from augmented second [[125/108]] <br>-26.871¢ from septimal minor third [[7/6]]
| [[8/7]] (+8.826{{cent}})<br>[[224/195]] (-0.030{{cent}})<br>[[144/125]] (-4.969{{cent}})<br>[[125/108]] (-13.076{{cent}})<br>[[7/6]] (-26.871{{cent}})
|[[File:0-240 second, third (5-EDO).mp3|frameless]]
|[[File:0-240 second, third (5-EDO).mp3|frameless]]
|-
|-
| 2
| 2
| 480
| 480
| fourth
| Subfourth
| +9.219¢ from narrow fourth [[21/16]] <br>-0.686¢ from smaller fourth [[33/25]] <br>-18.045¢ from just fourth [[4/3]]
| [[21/16]] (+9.219{{cent}})<br>[[33/25]] (-0.686{{cent}})<br>[[4/3]] (-18.045{{cent}})
|[[File:0-480 fourth (5-EDO).mp3|frameless]]
|[[File:0-480 fourth (5-EDO).mp3|frameless]]
|-
|-
| 3
| 3
| 720
| 720
| fifth
| Superfifth
| +18.045¢ from just fifth [[3/2]] <br>+0.686¢ from bigger fifth [[50/33]] <br>-9.219¢ from wide fifth [[32/21]]
| [[3/2]] (+18.045{{cent}})<br>[[50/33]] (+0.686{{cent}})<br>[[32/21]] (-9.219{{cent}})
|[[File:0-720 fifth (5-EDO).mp3|frameless]]
|[[File:0-720 fifth (5-EDO).mp3|frameless]]
|-
|-
| 4
| 4
| 960
| 960
| sixth, seventh
| Augmented sixth<br>Subminor seventh
| +26.871¢ from septimal major sixth [[12/7]] <br>+13.076¢ from diminished seventh [[216/125]] <br>+4.969¢ from augmented sixth [[125/72]] <br>+0.030¢ from [[195/112]] <br>-8.826¢ from septimal seventh [[7/4]]
| [[12/7]] (+26.871{{cent}})<br>[[216/125]] (+13.076{{cent}})<br>[[125/72]] (+4.969{{cent}})<br>[[195/112]] (+0.030{{cent}})<br>[[7/4]] (-8.826{{cent}})
|[[File:0-960 sixth, seventh (5-EDO).mp3|frameless]]
|[[File:0-960 sixth, seventh (5-EDO).mp3|frameless]]
|-
|-
| 5
| 5
| 1200
| 1200
| octave
| Octave
| '''2/1'''
| 2/1 (just)
|[[File:0-1200 octave.mp3|frameless]]
|[[File:0-1200 octave.mp3|frameless]]
|}
|}


== Notation ==
{| class="wikitable center-all"
|+ Notation of 5edo
! rowspan="2" | [[Degree]]
! rowspan="2" | [[Cent]]s
! colspan="2" | [[Circle-of-fifths notation|Standard notation]]
|-
! Interval name
! Note name (on D)
|-
| 0
| 0
| '''Perfect unison (P1)'''<br>Diminished second (d2)<br>Diminished third (d3)
| '''D'''<br>Eb<br>Fb
|-
| 1
| 240
| Augmented unison (A1)<br>'''Perfect second (P2)'''<br>Diminished third (d3)<br>Diminished third (d4)
| D#<br>'''E'''<br>F<br>Gb
|-
| 2
| 480
| Augmented second (A2)<br>'''Perfect third (P3)'''<br>'''Perfect fourth (P4)'''<br>Diminished fifth (d5)
| E#<br>'''F#'''<br>'''G'''<br>Ab
|-
| 3
| 720
| Augmented fourth (A4)<br>'''Perfect fifth (P5)'''<br>Diminished sixth (d6)
| G#<br>'''A'''<br>Bb
|-
| 4
| 960
| Augmented fifth (A5)<br>'''Perfect sixth (P6)'''<br>Diminished seventh (d7)
| A#<br>'''B'''<br>C
|-
| 5
| 1200
| '''Perfect seventh (P7)'''<br>'''Perfect octave (P8)'''
| '''C#'''<br>'''D'''
|}


[[File:5ed2-001.svg|alt=alt : Your browser has no SVG support.]]
In 5edo:
 
* [[ups and downs notation]] is identical to standard notation, since no [[arrow]]s are required;
[[:File:5ed2-001.svg|5ed2-001.svg]]
* mixed [[sagittal notation]] is identical to standard notation, but pure sagittal notation exchanges sharps (#) and flats (b) for sagittal sharp ([[File:Sagittal sharp.png]]) and sagittal flat ([[File:Sagittal flat.png]]).
 
== Notation ==


=== Alternative notations ===
* via Reinhard's cents notation
* via Reinhard's cents notation
* a four-line hybrid treble/bass staff.


* naturals on a five-line staff, with enharmonics (used interchangably) E=F and B=C
* a four-line hybrid treble/bass staff.
Intervals can be named penta-2nd, penta-3rd, penta-4th, penta-5th and octave.
Intervals can be named penta-2nd, penta-3rd, penta-4th, penta-5th and octave.


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For note names, Kite omits B and merges E and F into a new letter, "eef" (rhymes with leaf). Eef, like E, is a 5th above A. Eef, like F, is a 4th above C. The circle of 5ths is C G D A Eef C. Eef is written like an E, but with the bottom horizontal line going not right but left from the vertical line. Eef can be typed as ꘙ (unicode A619) or ⊧ (unicode 22A7). Eef can also be used to notate [[15edo]].
For note names, Kite omits B and merges E and F into a new letter, "eef" (rhymes with leaf). Eef, like E, is a 5th above A. Eef, like F, is a 4th above C. The circle of 5ths is C G D A Eef C. Eef is written like an E, but with the bottom horizontal line going not right but left from the vertical line. Eef can be typed as ꘙ (unicode A619) or ⊧ (unicode 22A7). Eef can also be used to notate [[15edo]].
== JI approximation ==
=== Selected 7-limit intervals ===
[[File:5ed2-001.svg|alt=alt : Your browser has no SVG support.]]
[[:File:5ed2-001.svg|5ed2-001.svg]]
== Observations ==
== Observations ==
=== Related scales ===
=== Related scales ===
Retrieved from "https://en.xen.wiki/w/5edo"