4L 7s: Difference between revisions
Some cleanup |
Added back genchain (which should probably be a template) |
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{{MOS intervals}} | {{MOS intervals}} | ||
== Tuning ranges == | ===Genchain=== | ||
=== Soft range === | {| class="wikitable center-all" | ||
|- | |||
! Generators | |||
| -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 | |||
|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=== | |||
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 28: | Line 37: | ||
! | ! | ||
![[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¢. | ||
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|- | |- | ||
! | ! | ||
! [[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 93: | Line 102: | ||
![[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 | ||
|} | |} | ||
=== Hyperhard === | === Hyperhard=== | ||
Hyperhard tunings of 4L 7s have step ratios between 4/1 and 6/1, implying a generator sharper than 8\31 = 309.68¢ and flatter than 6\23 = 313.04¢. | Hyperhard tunings of 4L 7s have step ratios between 4/1 and 6/1, implying a generator sharper than 8\31 = 309.68¢ and flatter than 6\23 = 313.04¢. | ||
| Line 126: | Line 135: | ||
|- | |- | ||
! | ! | ||
! [[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 | ||
|} | |} | ||
== Modes == | ==Modes== | ||
{{MOS mode degrees}} | {{MOS mode degrees}} | ||
== Temperaments == | ==Temperaments == | ||
== Scales == | ==Scales== | ||
* [[Oregon11]] | *[[Oregon11]] | ||
* [[Orgone11]] | *[[Orgone11]] | ||
* [[Magicaltet11]] | *[[Magicaltet11]] | ||
* [[Cata11]] | *[[Cata11]] | ||
* [[Starlingtet11]] | *[[Starlingtet11]] | ||
* [[Myna11]] | *[[Myna11]] | ||
== Scale tree == | ==Scale tree== | ||
{{Scale tree|Comments=6/5: Oregon; | {{Scale tree|Comments=6/5: Oregon; | ||
10/7: Orgone; | 10/7: Orgone; | ||
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[[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]] | ||