17edo: Difference between revisions

Reduce cent values to one decimal place, per discussion on Discord. Misc. cleanup and style improvements
Relegate 3L 4s notation to the notation section
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== Intervals ==
== Intervals ==
{{See also|17edo solfege}}
{{See also| 17edo solfege }}
 
{| class="wikitable center-all right-2 left-3"
{| class="wikitable center-all right-2 left-3"
|-
|-
Line 37: Line 38:
! colspan="3" | [[Ups and downs notation]]<br>([[Enharmonic unisons in ups and downs notation|EUs]]: vvA1 and ^d2)
! colspan="3" | [[Ups and downs notation]]<br>([[Enharmonic unisons in ups and downs notation|EUs]]: vvA1 and ^d2)
! colspan="3" | [[SKULO interval names|SKULO notation]] {{nowrap|(U {{=}} 1)}}
! colspan="3" | [[SKULO interval names|SKULO notation]] {{nowrap|(U {{=}} 1)}}
! colspan="2" | [[3L&nbsp;4s]] notation
|-
|-
| 0
| 0
| 0.0
| 0.0
| 1/1
| [[1/1]]
| Unison
| Unison
| D
| D
Line 49: Line 49:
| unison
| unison
| P1
| P1
| D
| unison
| D
| D
|-
|-
Line 64: Line 62:
| U1, m2
| U1, m2
| UD, Eb
| UD, Eb
| augmented 1sn
| D#
|-
|-
| 2
| 2
Line 78: Line 74:
| N2
| N2
| UEb, uE
| UEb, uE
| minor 2nd
| Eb
|-
|-
| 3
| 3
Line 91: Line 85:
| major 2nd
| major 2nd
| M2
| M2
| E
| major 2nd
| E
| E
|-
|-
Line 106: Line 98:
| m3
| m3
| F
| F
| diminished 3rd
| Fb
|-
|-
| 5
| 5
Line 120: Line 110:
| N3
| N3
| UF, uF#
| UF, uF#
| perfect 3rd
| F
|-
|-
| 6
| 6
Line 133: Line 121:
| major 3rd
| major 3rd
| M3
| M3
| F#
| augmented 3rd
| F#
| F#
|-
|-
Line 147: Line 133:
| perfect 4th
| perfect 4th
| P4
| P4
| G
| minor 4th
| G
| G
|-
|-
Line 162: Line 146:
| U4/N4
| U4/N4
| UG
| UG
| major 4th
| G#
|-
|-
| 9
| 9
Line 176: Line 158:
| u5/N5
| u5/N5
| uA
| uA
| minor 5th
| Ab
|-
|-
| 10
| 10
Line 189: Line 169:
| perfect 5th
| perfect 5th
| P5
| P5
| A
| major 5th
| A
| A
|-
|-
Line 203: Line 181:
| minor 6th
| minor 6th
| m6
| m6
| Bb
| diminished 6th
| Bb
| Bb
|-
|-
Line 218: Line 194:
| N6
| N6
| UBb, uB
| UBb, uB
| perfect 6th
| B
|-
|-
| 13
| 13
Line 232: Line 206:
| M6
| M6
| B
| B
| augmented 6th
| B#
|-
|-
| 14
| 14
Line 246: Line 218:
| m7
| m7
| C
| C
| minor 7th
| Cb
|-
|-
| 15
| 15
Line 260: Line 230:
| N7
| N7
| UC, uC#
| UC, uC#
| major 7th
| C
|-
|-
| 16
| 16
Line 274: Line 242:
| M7, u8
| M7, u8
| C#, uD
| C#, uD
| diminished 8ve
| Db
|-
|-
| 17
| 17
Line 287: Line 253:
| octave
| octave
| P8
| P8
| D
| octave
| D
| D
|}
|}
Line 430: Line 394:


[[File:17edo Sagittal.png|800px]]
[[File:17edo Sagittal.png|800px]]
=== 3L 4s (mosh) notation ===
The notation of Neutral[7]. The generator is the perfect 3rd. Notes are denoted as {{nowrap|sLsLsLs {{=}} DEFGABCD}}, and raising and lowering by a chroma {{nowrap|(L − s)}}, 1 edostep in this instance, is denoted by ♯ and ♭.
{| class="wikitable center-all right-2 left-4 left-5 mw-collapsible mw-collapsed"
|-
! #
! Cents
! Note
! Name
! Associated ratios
|-
| 0
| 0.0
| D
| Perfect 1sn
| 1/1
|-
| 1
| 70.6
| D#
| Augmented 1sn
| 33/32
|-
| 2
| 141.2
| Eb
| Minor 2nd
| 12/11
|-
| 3
| 211.8
| E
| Major 2nd
| 9/8
|-
| 4
| 282.4
| Fb
| Diminished 3rd
| 32/27
|-
| 5
| 352.9
| F
| Perfect 3rd
| 11/9, 27/22
|-
| 6
| 423.5
| F#
| Augmented 3rd
| 81/64
|-
| 7
| 494.1
| G
| Minor 4th
| 4/3
|-
| 8
| 564.7
| G#
| Major 4th
| 11/8
|-
| 9
| 635.3
| Ab
| Minor 5th
| 16/11
|-
| 10
| 705.9
| A
| Major 5th
| 3/2
|-
| 11
| 776.5
| Bb
| Diminished 6th
| 128/81
|-
| 12
| 847.1
| B
| Perfect 6th
| 18/11, 44/27
|-
| 13
| 917.6
| B#
| Augmented 6th
| 27/16
|-
| 14
| 988.2
| Cb
| Minor 7th
| 16/9
|-
| 15
| 1058.8
| C
| Major 7th
| 11/6
|-
| 16
| 1129.4
| Db
| Diminished 8ve
| 64/33
|-
| 17
| 1200.0
| D
| Perfect 8ve
| 2/1
|}


== Approximation to JI ==
== Approximation to JI ==