Xenharmonic Wiki

4L 7s: Difference between revisions

← Older editNewer edit →
VisualWikitext
Ganaram inukshuk (talk | contribs)
autopatrolled
4,810 edits
Testing out an alternate layout
ArrowHead294 (talk | contribs)
14,512 edits
m Formatting, spaces for best practice
Line 21: Line 21:
=== Modes ===
=== Modes ===
{{MOS mode degrees}}
{{MOS mode degrees}}
===Genchain===
=== Genchain ===
{| class="wikitable center-all"
{| class="wikitable center-all"
|-
|-
! Generators
! Generators
| -11||-10||-9|| -8||-7 ||-6||-5||-4||-3|| -2||-1||0||+1 ||+2||+3||+4 ||+5||+6||+7||+8||+9|| +10|| +11
| -11 || -10 || -9 || -8 || -7 || -6 || -5 || -4 || -3 || -2 || -1 || 0 || +1 || +2 || +3 || +4 || +5 || +6 || +7 || +8 || +9 || +10 || +11
|-
|-
!Interval quality
! Interval quality
|d11md|| d8md ||m5md|| m2md||m10md||m7md|| m4md||m1md||m9md||m6md||P3md||P0md||P8md||M5md||M2md||M10md|| M7md||M4md||M1md||M9md||M6md||A3md||A0md
| d11md || d8md || m5md || m2md || m10md || m7md || m4md || m1md || m9md || m6md || P3md || P0md || P8md || M5md || M2md || M10md || M7md || M4md || M1md || M9md || M6md || A3md || A0md
|}
|}
==Tuning ranges==
 
===Soft range===
== Tuning ranges==
=== Soft range ===
The soft range for tunings of 4L 7s encompasses parasoft and hyposoft tunings. This implies step ratios smaller than 2/1, meaning a generator sharper than 4\15 = 320¢.
The soft range for tunings of 4L 7s encompasses parasoft and hyposoft tunings. This implies step ratios smaller than 2/1, meaning a generator sharper than 4\15 = 320¢.


Line 41: Line 42:
|-
|-
!
!
![[15edo]] (basic)
! [[15edo]] (basic)
![[26edo]] (soft)
! [[26edo]] (soft)
!Some JI approximations
! Some JI approximations
|-
|-
|generator (g)
| generator (g)
|4\15, 320.00
| 4\15, 320.00
| 7\26, 323.08
| 7\26, 323.08
|77/64, 6/5
| 77/64, 6/5
|-
|-
| L (octave - 3g)
| L (octave - 3g)
|2\15, 160.00
| 2\15, 160.00
|3\26, 138.46
| 3\26, 138.46
|12/11, 13/12
| 12/11, 13/12
|-
|-
|s (4g - octave)
| s (4g - octave)
|1\15, 80.00
| 1\15, 80.00
|2\19, 92.31
| 2\19, 92.31
|21/20, 22/21, 20/19
| 21/20, 22/21, 20/19
|}
|}


===Hypohard===
=== Hypohard ===
Hypohard tunings of 4L 7s have step ratios between 2/1 and 3/1, implying a generator sharper than 5\19 = 315.79¢ and flatter than 4\15 = 320¢.
Hypohard tunings of 4L 7s have step ratios between 2/1 and 3/1, implying a generator sharper than 5\19 = 315.79¢ and flatter than 4\15 = 320¢.


Line 71: Line 72:
|-
|-
!
!
![[15edo]] (basic)
! [[15edo]] (basic)
![[19edo]] (hard)
! [[19edo]] (hard)
![[34edo]] (semihard)
! [[34edo]] (semihard)
!Some JI approximations
! Some JI approximations
|-
|-
|generator (g)
| generator (g)
|4\15, 320.00
| 4\15, 320.00
|5\19, 315.79
| 5\19, 315.79
|9\34, 317.65
| 9\34, 317.65
|6/5
| 6/5
|-
|-
|L (octave - 3g)
| L (octave - 3g)
|2\15, 160.00
| 2\15, 160.00
|3\19, 189.47
| 3\19, 189.47
|5\34, 176.47
| 5\34, 176.47
|10/9, 11/10 (in 15edo)
| 10/9, 11/10 (in 15edo)
|-
|-
|s (4g - octave)
| s (4g - octave)
|1\15, 80.00
| 1\15, 80.00
|1\19, 63.16
| 1\19, 63.16
|2\34, 70.59
| 2\34, 70.59
|25/24, 26/25 (in better kleismic tunings)
| 25/24, 26/25 (in better kleismic tunings)
|}
|}


===Parahard===
=== Parahard ===
Parahard tunings of 4L 7s have step ratios between 3/1 and 4/1, implying a generator sharper than 6\23 = 313.04¢ and flatter than 5\19 = 315.79¢.
Parahard tunings of 4L 7s have step ratios between 3/1 and 4/1, implying a generator sharper than 6\23 = 313.04¢ and flatter than 5\19 = 315.79¢.


Line 105: Line 106:
|-
|-
!
!
![[19edo]] (hard)
! [[19edo]] (hard)
![[23edo]] (superhard)
! [[23edo]] (superhard)
![[42edo]] (parahard)
! [[42edo]] (parahard)
!Some JI approximations
! Some JI approximations
|-
|-
| generator (g)
| generator (g)
|5\19, 315.79
| 5\19, 315.79
|6\23, 313.04
| 6\23, 313.04
|11\42, 314.29
| 11\42, 314.29
| 6/5
| 6/5
|-
|-
|L (octave - 3g)
| L (octave - 3g)
|3\19, 189.47
| 3\19, 189.47
|4\23, 208.70
| 4\23, 208.70
|7\42, 200.00
| 7\42, 200.00
| 10/9, 9/8
| 10/9, 9/8
|-
|-
|s (4g - octave)
| s (4g - octave)
|1\19, 63.16
| 1\19, 63.16
|1\23, 52.17
| 1\23, 52.17
|2\42, 57.14
| 2\42, 57.14
| 28/27, 33/32
| 28/27, 33/32
|}
|}
Line 140: Line 141:
|-
|-
!
!
![[23edo]] (superhard)
! [[23edo]] (superhard)
![[31edo]] (extrahard)
! [[31edo]] (extrahard)
![[27edo]] (pentahard)
! [[27edo]] (pentahard)
!Some JI approximations
! Some JI approximations
|-
|-
|generator (g)
| generator (g)
|6\23, 313.04
| 6\23, 313.04
|8\31, 309.68
| 8\31, 309.68
|7\27, 311.11
| 7\27, 311.11
|6/5
| 6/5
|-
|-
|L (octave - 3g)
| L (octave - 3g)
|4\23, 208.70
| 4\23, 208.70
|6\31, 232.26
| 6\31, 232.26
|5\27, 222.22
| 5\27, 222.22
|8/7, 9/8
| 8/7, 9/8
|-
|-
|s (4g - octave)
| s (4g - octave)
|1\23, 52.17
| 1\23, 52.17
|1\31, 38.71
| 1\31, 38.71
|1\27, 44.44
| 1\27, 44.44
|36/35, 45/44
| 36/35, 45/44
|}
|}


==Temperaments==
== Temperaments ==
==Scales==
== Scales ==
*[[Oregon11]]
* [[Oregon11]]
*[[Orgone11]]
* [[Orgone11]]
*[[Magicaltet11]]
* [[Magicaltet11]]
*[[Cata11]]
* [[Cata11]]
*[[Starlingtet11]]
* [[Starlingtet11]]
*[[Myna11]]
* [[Myna11]]


==Scale tree==
==Scale tree==
Line 189: Line 190:
[[Category:Kleistonic]] <!-- main article -->
[[Category:Kleistonic]] <!-- main article -->


==Gallery==
== Gallery ==
[[File:19EDO_Kleistonic_cheat_sheet.png|825x825px|thumb|Cheat sheet for 19EDO, a hard tuning for 4L 7s (or kleistonic).|alt=|left]]
[[File:19EDO_Kleistonic_cheat_sheet.png|825x825px|thumb|Cheat sheet for 19EDO, a hard tuning for 4L 7s (or kleistonic).|alt=|left]]
Retrieved from "https://en.xen.wiki/w/4L_7s"