Xenharmonic Wiki

User:Moremajorthanmajor/8edX: Difference between revisions

← Older editNewer edit →
VisualWikitext
No edit summary
No edit summary
Line 3: Line 3:
{| class="wikitable"
{| class="wikitable"
|+
|+
! colspan="5" | Decade
! colspan="6" | Decade
!Period
!Period
!Notes
!Notes
|-
|-
|6\5
|6\5
|
|
|
|
|
Line 17: Line 18:
|
|
|17\14
|17\14
|
|
|
|
|
Line 24: Line 26:
|-
|-
|11\9
|11\9
|
|
|
|
|
Line 33: Line 36:
|
|
|16\13
|16\13
|
|
|
|
|
Line 42: Line 46:
|
|
|21\17
|21\17
|
|
|
|
|
Line 51: Line 56:
|
|
|26\21
|26\21
|
|
|
|185.714
|185.714
Line 60: Line 66:
|
|
|31\25
|31\25
|
|186
|186
|
|
|-
|-
|5\4
|5\4
|
|
|
|
|
Line 76: Line 84:
|
|
|34\27
|34\27
|
|188.{{Overline|8}}
|188.{{Overline|8}}
|
|
Line 83: Line 92:
|
|
|29\23
|29\23
|
|
|
|189.13
|189.13
Line 90: Line 100:
|
|
|24\19
|24\19
|
|
|
|
|
Line 97: Line 108:
|
|
|19\15
|19\15
|
|
|
|
|
Line 104: Line 116:
|-
|-
|14\11
|14\11
|
|
|
|
|
Line 113: Line 126:
|
|
|23\18
|23\18
|
|
|
|
|
Line 120: Line 134:
|-
|-
|9\7
|9\7
|
|
|
|
|
Line 129: Line 144:
|
|
|31\24
|31\24
|
|
|
|
|
Line 136: Line 152:
|-
|-
|22\17
|22\17
|
|
|
|
|
Line 145: Line 162:
|
|
|35\27
|35\27
|
|
|
|
|
Line 152: Line 170:
|-
|-
|13\10
|13\10
|
|
|
|
|
Line 160: Line 179:
|-
|-
|17\13
|17\13
|
|
|
|
|
Line 168: Line 188:
|-
|-
|21\16
|21\16
|
|
|
|
|
Line 177: Line 198:
|
|
|25\19
|25\19
|
|
|
|
|
Line 186: Line 208:
|
|
|29\22
|29\22
|
|
|
|
|
Line 195: Line 218:
|
|
|33\25
|33\25
|
|
|
|198
|198
Line 205: Line 229:
|37\28
|37\28
|
|
|198.214
|
|-
|
|
|
|
|
|41\31
|198.387
|
|
|-
|-
Line 212: Line 246:
|
|
|
|
|100
|
|200
| Pental Mixolydian mode ends, Soft Superpental Mixolydian mode begins
| Pental Mixolydian mode ends, Soft Superpental Mixolydian mode begins
|-
|
|
|
|
|
|35\26
|201.923
|
|-
|
|
|
|
|31\23
|
|202.174
|
|-
|
|
|
|27\20
|
|
|202.5
|
|-
|
|
|23\17
|
|
|
|202.941
|
|-
|-
|
|
Line 220: Line 291:
|
|
|
|
|101.786
|
|203.571
|
|
|-
|-
Line 228: Line 300:
|
|
|
|
|102.{{Overline|27}}
|
|204.{{Overline|54}}
|Soft Superpental Mixolydian mode ends, Intense Superpental Mixolydian mode begins
|Soft Superpental Mixolydian mode ends, Intense Superpental Mixolydian mode begins
|-
|-
Line 236: Line 309:
|
|
|
|
|102.632
|
|205.263
|
|
|-
|-
Line 244: Line 318:
|
|
|
|
|103.125
|
|206.25
|Intense Superpental Mixolydian mode ends, Mixolydian-Ionian mode begins
|Intense Superpental Mixolydian mode ends, Mixolydian-Ionian mode begins
|-
|-
Line 252: Line 327:
|
|
|
|
|103.846
|
|207.692
|
|
|-
|-
Line 260: Line 336:
|
|
|
|
|104.1{{Overline|6}}
|
|208.{{Overline|3}}
|
|
|-
|-
Line 268: Line 345:
|
|
|
|
|105
|
|210
|Mixolydian-Ionian mode ends
|Mixolydian-Ionian mode ends
|}Relative cents
|}Relative cents
{| class="wikitable" style="text-align: center"
{| class="wikitable" style="text-align: center"
!Degrees
!Degrees
! colspan="3" |Enneatonic
!Intense Aeolian-Subpental Dorian
!Intense Aeolian-Subpental Dorian
!Dorian
!Dorian
Line 279: Line 356:
|-
|-
|1
|1
|1#/2b
|G#/Jb
|''G#/Ab''
|''90.625''
|''93.75''
|''96.875''
|-
|2
|2
|J
|''A''
|''181.25''
|''181.25''
|''187.5''
|''187.5''
|''193.75''
|''193.75''
|-
|-
|3
|2
|2#/3b
|J#/Ab
|''A#/Bb''
|''271.875''
|''281.25''
|''290.625''
|-
|4
|3
|J
|''B''
|''362.5''
|''362.5''
|''375''
|''375''
|''387.5''
|''387.5''
|-
|-
|5
|3
|3#/4b
|J#/Ab
|B#/Cb
|''453.125''
|''468.75''
|''484.375''
|-
|6
|4
|A
|''C''
|''543.75''
|''543.75''
|''562.5''
|''562.5''
|''581.25''
|''581.25''
|-
|-
|7
|4
|5
|A#/Bb
|''C#/Qb''
|''633.375''
|''656.25''
|''678.125''
|-
|8
|5#/6b
|B
|''Q''
|''725''
|''725''
|''750''
|''750''
|''775''
|''775''
|-
|-
|9
|5
|6
|C
|''D''
|''815.625''
|''843.75''
|''871.875''
|-
|10
|6#/7b
|C#/Db
|D#/Sb
|''906.25''
|''906.25''
|''937.5''
|''937.5''
|''968.75''
|''968.75''
|-
|-
|11
|6
|7
|D
|''S''
|''996.875''
|''1031.25''
|''1065.625''
|-
|12
|7#/8b
|D#/Eb
|''S#/Eb''
|''1087.5''
|''1087.5''
|''1125''
|''1125''
|''1162.5''
|''1162.5''
|-
|-
| 13
|7
|8
| colspan="2" |E
|''1178.125''
|''1218.75''
|''1259.375''
|-
|14
|8#/9b
| colspan="2" |E#/Fb
|''1268.75''
|''1268.75''
|''1312.5''
|''1312.5''
|''1356.25''
|''1356.25''
|-
|15
|9
| colspan="2" |F
|''1359.375''
|''1406.25''
|''1453.125''
|-
|16
|1
| colspan="2" |G
|''1450''
|''1500''
|''1550''
|}
|}
{| class="wikitable" style="text-align: center"
{| class="wikitable" style="text-align: center"
!Degrees
!Degrees
! colspan="3" |Enneatonic
!Subpental-Soft Superpental Mixolydian
!Subpental-Soft Superpental Mixolydian
!Intense Superpental Mixolydian ~ Mixolydian-Ionian
!Intense Superpental Mixolydian ~ Mixolydian-Ionian
|-
|-
| | 1
| | 1
|1#/2b
| colspan="2" |F#/Gb
|''100''
|''103.125''
|-
| |2
|2
| colspan="2" |G
|''200''
|''200''
|''206.25''
|''206.25''
|-
|-
| |3
| |2
|2#/3b
|G#/Jb
|''G#/Ab''
|''300''
|''309.375''
|-
| |4
|3
|J
|''A''
|''400''
|''400''
|''412.5''
|''412.5''
|-
|-
| |5
| |3
|3#/4b
|J#/Ab
|''A#/Bb''
|''500''
|''515.625''
|-
| |6
|4
|A
|''B''
|''600''
|''600''
|''618.75''
|''618.75''
|-
|-
| | 7
| |4
|5
|B
|''H''
|''700''
|''721.875''
|-
|8
| 5#/6b
|B#/Hb
|''H#/Cb''
|''800''
|''800''
|''825''
|''825''
|-
|-
|9
| |5
|6
|H
|''C''
|''900''
|''928.125''
|-
|10
|6#/7b
|H#/Cb
|''C#/Db''
|''1000''
|''1000''
|''1031.25''
|''1031.25''
|-
|-
|11
| |6
|7
|C
|''D''
|''1100''
|''1134.375''
|-
|12
|7#/8b
|C#/Db
|''D#/Sb''
|''1200''
|''1200''
|''1237.5''
|''1237.5''
|-
|-
|13
| | 7
|8
|D
|''S''
|''1300''
|''1340.625''
|-
|14
|8#/9b
|D#/Eb
|''S#/Eb''
|''1400''
|''1400''
|''1443.75''
|''1443.75''
|-
|}
|15
|9
| colspan="2" |E
|''1500''
|''1546.875''
|-
|16
|1
| colspan="2" |F
|''1600''
|''1650''
|}By a surprising coincidence, neutral 16edX turns out to be a false Pelogic temperament with a very pure 5:4 (mistuned by no more than 3.686 cents), and tuning 5:3 pure creates a tenth almost exactly equal to 38/29edo or almost exactly the Golden Subpental Mixolydian step or every ninth step of [[110edo]], and tuning 4:3 pure creates an almost exact 43/74edo fifth. Also, the Golden Soft Superpental Mixolydian step is almost exactly (25/24)^(10/7) and tuning 12:7 pure creates almost exactly the Golden Mixolydian-Ionian step.
==See also==
==See also==
*[[16ed5/2]] - equal division of the classic major tenth
*[[8ed5/2]] - equal division of the classic major tenth
*[[16ed7/3]] - equal division of the septimal minor tenth
*[[8ed7/3]] - equal division of the septimal minor tenth


[[Category:16-tone scales]]
[[Category:8-tone scales]]
[[Category:EdX]]
[[Category:EdX]]
Retrieved from "https://en.xen.wiki/w/User:Moremajorthanmajor/8edX"