Porcupine family: Difference between revisions
→Porcupine: base the sharpness on 4/3 rather than 3/2 (see talk). Hystrix isn't actually flat of 8d |
m Units. + missing links. Fix dead links. |
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| Line 22: | Line 22: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[CTE]]: ~2 = 1200.000, ~10/9 = 164.166 | * [[CTE]]: ~2 = 1200.000{{c}}, ~10/9 = 164.166{{c}} | ||
: [[error map]]: {{val| 0.000 +5.547 -7.143 }} | : [[error map]]: {{val| 0.000 +5.547 -7.143 }} | ||
* [[POTE]]: ~2 = 1200.000, ~10/9 = 163.950 | * [[POTE]]: ~2 = 1200.000{{c}}, ~10/9 = 163.950{{c}} | ||
: error map: {{val| 0.000 +6.194 -6.065 }} | : error map: {{val| 0.000 +6.194 -6.065 }} | ||
| Line 60: | Line 60: | ||
Comma list: 55/54, 100/99 | Comma list: 55/54, 100/99 | ||
Subgroup-val mapping: {{mapping| 1 2 3 4 | 0 -3 -5 -4 }} | |||
Gencom mapping: {{mapping| 1 2 3 0 4 | 0 -3 -5 0 -4 }} | Gencom mapping: {{mapping| 1 2 3 0 4 | 0 -3 -5 0 -4 }} | ||
Optimal tunings: | Optimal tunings: | ||
* CTE: ~2 = 1200.000, ~11/10 = 163.887 | * CTE: ~2 = 1200.000{{c}}, ~11/10 = 163.887{{c}} | ||
* POTE: ~2 = 1200.000, ~11/10 = 164.078 | * POTE: ~2 = 1200.000{{c}}, ~11/10 = 164.078{{c}} | ||
{{Optimal ET sequence|legend=0| 7, 15, 22, 73ce, 95ce }} | {{Optimal ET sequence|legend=0| 7, 15, 22, 73ce, 95ce }} | ||
| Line 79: | Line 77: | ||
Comma list: 55/54, 100/99, 512/507 | Comma list: 55/54, 100/99, 512/507 | ||
Subgroup-val mapping: {{mapping| 1 5 8 8 2 | 0 -6 -10 -8 3 }} | |||
: | : mapping generators: ~2, ~65/44 | ||
Optimal tunings: | Optimal tunings: | ||
* CTE: ~2 = 1200.000, ~88/65 = 518.086 | * CTE: ~2 = 1200.000{{c}}, ~88/65 = 518.086{{c}} | ||
* POTE: ~2 = 1200.000, ~88/65 = 518.209 | * POTE: ~2 = 1200.000{{c}}, ~88/65 = 518.209{{c}} | ||
{{Optimal ET sequence|legend=0| 7, 23bc, 30, 37, 44 }} | {{Optimal ET sequence|legend=0| 7, 23bc, 30, 37, 44 }} | ||
| Line 103: | Line 101: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[CTE]]: ~2 = 1200.000, ~10/9 = 163.203 | * [[CTE]]: ~2 = 1200.000{{c}}, ~10/9 = 163.203{{c}} | ||
: [[error map]]: {{val| 0.000 +8.435 -2.330 +10.394 }} | : [[error map]]: {{val| 0.000 +8.435 -2.330 +10.394 }} | ||
* [[POTE]]: ~2 = 1200.000, ~10/9 = 162.880 | * [[POTE]]: ~2 = 1200.000{{c}}, ~10/9 = 162.880{{c}} | ||
: error map: {{val| 0.000 +9.405 -0.714 +8.455 }} | : error map: {{val| 0.000 +9.405 -0.714 +8.455 }} | ||
| Line 131: | Line 129: | ||
Optimal tunings: | Optimal tunings: | ||
* CTE: ~2 = 1200.000, ~11/10 = 163.105 | * CTE: ~2 = 1200.000{{c}}, ~11/10 = 163.105{{c}} | ||
* POTE: ~2 = 1200.000, ~11/10 = 162.747 | * POTE: ~2 = 1200.000{{c}}, ~11/10 = 162.747{{c}} | ||
Minimax tuning: | Minimax tuning: | ||
| Line 156: | Line 154: | ||
Optimal tunings: | Optimal tunings: | ||
* CTE: ~2 = 1200.000, ~11/10 = 163.442 | * CTE: ~2 = 1200.000{{c}}, ~11/10 = 163.442{{c}} | ||
* POTE: ~2 = 1200.000, ~11/10 = 162.708 | * POTE: ~2 = 1200.000{{c}}, ~11/10 = 162.708{{c}} | ||
Minimax tuning: | Minimax tuning: | ||
| Line 182: | Line 180: | ||
Optimal tunings: | Optimal tunings: | ||
* CTE: ~2 = 1200.000, ~11/10 = 162.636 | * CTE: ~2 = 1200.000{{c}}, ~11/10 = 162.636{{c}} | ||
* POTE: ~2 = 1200.000, ~11/10 = 162.277 | * POTE: ~2 = 1200.000{{c}}, ~11/10 = 162.277{{c}} | ||
Minimax tuning: | Minimax tuning: | ||
| Line 206: | Line 204: | ||
Optimal tunings: | Optimal tunings: | ||
* CTE: ~2 = 1200.000, ~11/10 = 163.378 | * CTE: ~2 = 1200.000{{c}}, ~11/10 = 163.378{{c}} | ||
* POTE: ~2 = 1200.000, ~11/10 = 162.482 | * POTE: ~2 = 1200.000{{c}}, ~11/10 = 162.482{{c}} | ||
Minimax tuning: | Minimax tuning: | ||
| Line 225: | Line 223: | ||
Optimal tunings: | Optimal tunings: | ||
* CTE: ~2 = 1200.000, ~11/10 = 163.678 | * CTE: ~2 = 1200.000{{c}}, ~11/10 = 163.678{{c}} | ||
* POTE: ~2 = 1200.000, ~11/10 = 163.688 | * POTE: ~2 = 1200.000{{c}}, ~11/10 = 163.688{{c}} | ||
Minimax tuning: | Minimax tuning: | ||
| Line 237: | Line 235: | ||
== Opossum == | == Opossum == | ||
{{Main| Opossum }} | |||
Opossum can be described as {{nowrap| 8d & 15 }}. Tempering out [[28/27]], the perfect fifth of three generator steps is conflated with not [[32/21]] as in porcupine but [[14/9]]. Three such fifths or nine generator steps octave reduced give a flat 7/4. 2\15 is a good generator. | Opossum can be described as {{nowrap| 8d & 15 }}. Tempering out [[28/27]], the perfect fifth of three generator steps is conflated with not [[32/21]] as in porcupine but [[14/9]]. Three such fifths or nine generator steps octave reduced give a flat 7/4. 2\15 is a good generator. | ||
| Line 246: | Line 246: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[CTE]]: ~2 = 1200.000, ~10/9 = 161.306 | * [[CTE]]: ~2 = 1200.000{{c}}, ~10/9 = 161.306{{c}} | ||
: [[error map]]: {{val| 0.000 +14.126 +7.155 -20.583 }} | : [[error map]]: {{val| 0.000 +14.126 +7.155 -20.583 }} | ||
* [[POTE]]: ~2 = 1200.000, ~10/9 = 159.691 | * [[POTE]]: ~2 = 1200.000{{c}}, ~10/9 = 159.691{{c}} | ||
: error map: {{val| 0.000 +18.971 +15.229 -6.048 }} | : error map: {{val| 0.000 +18.971 +15.229 -6.048 }} | ||
| Line 266: | Line 266: | ||
Optimal tunings: | Optimal tunings: | ||
* CTE: ~2 = 1200.000, ~11/10 = 161.365 | * CTE: ~2 = 1200.000{{c}}, ~11/10 = 161.365{{c}} | ||
* POTE: ~2 = 1200.000, ~11/10 = 159.807 | * POTE: ~2 = 1200.000{{c}}, ~11/10 = 159.807{{c}} | ||
Minimax tuning: | Minimax tuning: | ||
| Line 284: | Line 284: | ||
Optimal tunings: | Optimal tunings: | ||
* CTE: ~2 = 1200.000, ~11/10 = 161.631 | * CTE: ~2 = 1200.000{{c}}, ~11/10 = 161.631{{c}} | ||
* POTE: ~2 = 1200.000, ~11/10 = 158.805 | * POTE: ~2 = 1200.000{{c}}, ~11/10 = 158.805{{c}} | ||
Minimax tuning: | Minimax tuning: | ||
| Line 304: | Line 304: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[CTE]]: ~2 = 1200.000, ~10/9 = 164.391 | * [[CTE]]: ~2 = 1200.000{{c}}, ~10/9 = 164.391{{c}} | ||
: [[error map]]: {{val| 0.000 +4.871 -8.270 +0.913 }} | : [[error map]]: {{val| 0.000 +4.871 -8.270 +0.913 }} | ||
* [[POTE]]: ~2 = 1200.000, ~10/9 = 164.412 | * [[POTE]]: ~2 = 1200.000{{c}}, ~10/9 = 164.412{{c}} | ||
: error map: {{val| 0.000 +4.809 -8.375 +0.580 }} | : error map: {{val| 0.000 +4.809 -8.375 +0.580 }} | ||
| Line 325: | Line 325: | ||
Optimal tunings: | Optimal tunings: | ||
* CTE: ~2 = 1200.000, ~11/10 = 164.321 | * CTE: ~2 = 1200.000{{c}}, ~11/10 = 164.321{{c}} | ||
* POTE: ~2 = 1200.000, ~11/10 = 164.552 | * POTE: ~2 = 1200.000{{c}}, ~11/10 = 164.552{{c}} | ||
Minimax tuning: | Minimax tuning: | ||
| Line 344: | Line 344: | ||
Optimal tunings: | Optimal tunings: | ||
* CTE: ~2 = 1200.000, ~11/10 = 164.478 | * CTE: ~2 = 1200.000{{c}}, ~11/10 = 164.478{{c}} | ||
* POTE: ~2 = 1200.000, ~11/10 = 164.953 | * POTE: ~2 = 1200.000{{c}}, ~11/10 = 164.953{{c}} | ||
{{Optimal ET sequence|legend=0| 7d, 22, 29, 51f, 80cdeff }} | {{Optimal ET sequence|legend=0| 7d, 22, 29, 51f, 80cdeff }} | ||
| Line 364: | Line 364: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[CTE]]: ~2 = 1200.000, ~10/9 = 166.094 | * [[CTE]]: ~2 = 1200.000{{c}}, ~10/9 = 166.094{{c}} | ||
: [[error map]]: {{val| 0.000 -0.236 -16.783 -9.607 }} | : [[error map]]: {{val| 0.000 -0.236 -16.783 -9.607 }} | ||
* [[POTE]]: ~2 = 1200.000, ~10/9 = 166.041 | * [[POTE]]: ~2 = 1200.000{{c}}, ~10/9 = 166.041{{c}} | ||
: error map: {{val| 0.000 -0.077 -16.516 -10.299 }} | : error map: {{val| 0.000 -0.077 -16.516 -10.299 }} | ||
| Line 385: | Line 385: | ||
Optimal tunings: | Optimal tunings: | ||
* CTE: ~2 = 1200.000, ~11/10 = 165.925 | * CTE: ~2 = 1200.000{{c}}, ~11/10 = 165.925{{c}} | ||
* POTE: ~2 = 1200.000, ~11/10 = 165.981 | * POTE: ~2 = 1200.000{{c}}, ~11/10 = 165.981{{c}} | ||
Minimax tuning: | Minimax tuning: | ||
| Line 404: | Line 404: | ||
Optimal tunings: | Optimal tunings: | ||
* CTE: ~2 = 1200.000, ~11/10 = 166.046 | * CTE: ~2 = 1200.000{{c}}, ~11/10 = 166.046{{c}} | ||
* POTE: ~2 = 1200.000, ~11/10 = 165.974 | * POTE: ~2 = 1200.000{{c}}, ~11/10 = 165.974{{c}} | ||
Minimax tuning: | Minimax tuning: | ||
| Line 425: | Line 425: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[CTE]]: ~2 = 1200.000, ~10/9 = 165.185 | * [[CTE]]: ~2 = 1200.000{{c}}, ~10/9 = 165.185{{c}} | ||
: [[error map]]: {{val| 0.000 +2.491 -12.236 +65.990 }} | : [[error map]]: {{val| 0.000 +2.491 -12.236 +65.990 }} | ||
* [[POTE]]: ~2 = 1200.000, ~10/9 = 158.868 | * [[POTE]]: ~2 = 1200.000{{c}}, ~10/9 = 158.868{{c}} | ||
: error map: {{val| 0.000 +21.442 +19.348 +72.306 }} | : error map: {{val| 0.000 +21.442 +19.348 +72.306 }} | ||
| Line 446: | Line 446: | ||
Optimal tunings: | Optimal tunings: | ||
* CTE: ~2 = 1200.000, ~11/10 = 164.768 | * CTE: ~2 = 1200.000{{c}}, ~11/10 = 164.768{{c}} | ||
* POTE: ~2 = 1200.000, ~11/10 = 158.750 | * POTE: ~2 = 1200.000{{c}}, ~11/10 = 158.750{{c}} | ||
{{Optimal ET sequence|legend=0| 7, 8d, 15d }} | {{Optimal ET sequence|legend=0| 7, 8d, 15d }} | ||
| Line 469: | Line 469: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[CTE]]: ~7/5 = 600.000, ~9/7 = 435.258 | * [[CTE]]: ~7/5 = 600.000{{c}}, ~9/7 = 435.258{{c}} | ||
: [[error map]]: {{val| 0.000 +3.819 -10.024 +7.464 }} | : [[error map]]: {{val| 0.000 +3.819 -10.024 +7.464 }} | ||
* [[POTE]]: ~7/5 = 600.000, ~9/7 = 435.648 | * [[POTE]]: ~7/5 = 600.000{{c}}, ~9/7 = 435.648{{c}} | ||
: error map: {{val| 0.000 +4.989 -8.074 +9.414 }} | : error map: {{val| 0.000 +4.989 -8.074 +9.414 }} | ||
| Line 486: | Line 486: | ||
Optimal tunings: | Optimal tunings: | ||
* CTE: ~7/5 = 600.000, ~9/7 = 435.528 | * CTE: ~7/5 = 600.000{{c}}, ~9/7 = 435.528{{c}} | ||
* POTE: ~7/5 = 600.000, ~9/7 = 435.386 | * POTE: ~7/5 = 600.000{{c}}, ~9/7 = 435.386{{c}} | ||
{{Optimal ET sequence|legend=0| 8d, 14c, 22, 58ce }} | {{Optimal ET sequence|legend=0| 8d, 14c, 22, 58ce }} | ||
| Line 501: | Line 501: | ||
Optimal tunings: | Optimal tunings: | ||
* CTE: ~7/5 = 600.000, ~9/7 = 436.309 | * CTE: ~7/5 = 600.000{{c}}, ~9/7 = 436.309{{c}} | ||
* POTE: ~7/5 = 600.000, ~9/7 = 435.861 | * POTE: ~7/5 = 600.000{{c}}, ~9/7 = 435.861{{c}} | ||
{{Optimal ET sequence|legend=0| 8d, 14cf, 22 }} | {{Optimal ET sequence|legend=0| 8d, 14cf, 22 }} | ||
| Line 516: | Line 516: | ||
Optimal tunings: | Optimal tunings: | ||
* CTE: ~7/5 = 600.000, ~9/7 = 435.186 | * CTE: ~7/5 = 600.000{{c}}, ~9/7 = 435.186{{c}} | ||
* POTE: ~7/5 = 600.000, ~9/7 = 437.078 | * POTE: ~7/5 = 600.000{{c}}, ~9/7 = 437.078{{c}} | ||
{{Optimal ET sequence|legend=0| 14c, 22f }} | {{Optimal ET sequence|legend=0| 14c, 22f }} | ||
| Line 531: | Line 531: | ||
Optimal tunings: | Optimal tunings: | ||
* CTE: ~7/5 = 600.000, ~9/7 = 435.329 | * CTE: ~7/5 = 600.000{{c}}, ~9/7 = 435.329{{c}} | ||
* POTE: ~7/5 = 600.000, ~9/7 = 435.425 | * POTE: ~7/5 = 600.000{{c}}, ~9/7 = 435.425{{c}} | ||
{{Optimal ET sequence|legend=0| 22 }} | {{Optimal ET sequence|legend=0| 22 }} | ||
| Line 539: | Line 539: | ||
; Music | ; Music | ||
* [http://micro.soonlabel.com/22-ET/20120207-phobos-light-hedgehog14.mp3 ''Phobos Light''] by [[Chris Vaisvil]] – in [[hedgehog14| | * [https://web.archive.org/web/20240624173512/http://micro.soonlabel.com/22-ET/20120207-phobos-light-hedgehog14.mp3 ''Phobos Light''] by [[Chris Vaisvil]] – in [[hedgehog14|Hedgehog[14]]], 22edo tuning. | ||
== Nautilus == | == Nautilus == | ||
| Line 553: | Line 553: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[CTE]]: ~2 = 1200.000, ~21/20 = 81.914 | * [[CTE]]: ~2 = 1200.000{{c}}, ~21/20 = 81.914{{c}} | ||
: [[error map]]: {{val| 0.000 +6.559 -5.457 -14.569 }} | : [[error map]]: {{val| 0.000 +6.559 -5.457 -14.569 }} | ||
* [[POTE]]: ~2 = 1200.000, ~21/20 = 82.505 | * [[POTE]]: ~2 = 1200.000{{c}}, ~21/20 = 82.505{{c}} | ||
: error map: {{val| 0.000 +3.012 -11.368 -16.342 }} | : error map: {{val| 0.000 +3.012 -11.368 -16.342 }} | ||
| Line 570: | Line 570: | ||
Optimal tunings: | Optimal tunings: | ||
* CTE: ~2 = 1200.000, ~21/20 = 81.802 | * CTE: ~2 = 1200.000{{c}}, ~21/20 = 81.802{{c}} | ||
* POTE: ~2 = 1200.000, ~21/20 = 82.504 | * POTE: ~2 = 1200.000{{c}}, ~21/20 = 82.504{{c}} | ||
{{Optimal ET sequence|legend=0| 14c, 15, 29, 44d }} | {{Optimal ET sequence|legend=0| 14c, 15, 29, 44d }} | ||
| Line 585: | Line 585: | ||
Optimal tunings: | Optimal tunings: | ||
* CTE: ~2 = 1200.000, ~21/20 = 81.912 | * CTE: ~2 = 1200.000{{c}}, ~21/20 = 81.912{{c}} | ||
* POTE: ~2 = 1200.000, ~21/20 = 82.530 | * POTE: ~2 = 1200.000{{c}}, ~21/20 = 82.530{{c}} | ||
{{Optimal ET sequence|legend=0| 14cf, 15, 29, 44d }} | {{Optimal ET sequence|legend=0| 14cf, 15, 29, 44d }} | ||
| Line 600: | Line 600: | ||
Optimal tunings: | Optimal tunings: | ||
* CTE: ~2 = 1200.000, ~21/20 = 82.034 | * CTE: ~2 = 1200.000{{c}}, ~21/20 = 82.034{{c}} | ||
* POTE: ~2 = 1200.000, ~21/20 = 81.759 | * POTE: ~2 = 1200.000{{c}}, ~21/20 = 81.759{{c}} | ||
{{Optimal ET sequence|legend=0| 14c, 15, 29f, 44dff }} | {{Optimal ET sequence|legend=0| 14c, 15, 29f, 44dff }} | ||
| Line 608: | Line 608: | ||
; Music | ; Music | ||
* [http://micro.soonlabel.com/gene_ward_smith/Others/Igs/NautilusReverie.mp3 ''Nautilus Reverie''] by [[Igliashon Jones | * [https://web.archive.org/web/20201127013840/http://micro.soonlabel.com/gene_ward_smith/Others/Igs/NautilusReverie.mp3 ''Nautilus Reverie''] by [[Igliashon Jones]] | ||
== Ammonite == | == Ammonite == | ||
| Line 622: | Line 622: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[CTE]]: ~2 = 1200.000, ~9/7 = 454.550 | * [[CTE]]: ~2 = 1200.000{{c}}, ~9/7 = 454.550{{c}} | ||
: [[error map]]: {{val| 0.000 +7.095 -4.564 -5.276 }} | : [[error map]]: {{val| 0.000 +7.095 -4.564 -5.276 }} | ||
* [[POTE]]: ~2 = 1200.000, ~9/7 = 454.448 | * [[POTE]]: ~2 = 1200.000{{c}}, ~9/7 = 454.448{{c}} | ||
: error map: {{val| 0.000 +8.009 -3.040 -3.346 }} | : error map: {{val| 0.000 +8.009 -3.040 -3.346 }} | ||
| Line 639: | Line 639: | ||
Optimal tunings: | Optimal tunings: | ||
* CTE: ~2 = 1200.000, ~9/7 = 454.505 | * CTE: ~2 = 1200.000{{c}}, ~9/7 = 454.505{{c}} | ||
* POTE: ~2 = 1200.000, ~9/7 = 454.512 | * POTE: ~2 = 1200.000{{c}}, ~9/7 = 454.512{{c}} | ||
{{Optimal ET sequence|legend=0| 8d, 21cde, 29, 37, 66 }} | {{Optimal ET sequence|legend=0| 8d, 21cde, 29, 37, 66 }} | ||
| Line 654: | Line 654: | ||
Optimal tunings: | Optimal tunings: | ||
* CTE: ~2 = 1200.000, ~13/10 = 454.480 | * CTE: ~2 = 1200.000{{c}}, ~13/10 = 454.480{{c}} | ||
* POTE: ~2 = 1200.000, ~13/10 = 454.529 | * POTE: ~2 = 1200.000{{c}}, ~13/10 = 454.529{{c}} | ||
{{Optimal ET sequence|legend=0| 8d, 21cdef, 29, 37, 66 }} | {{Optimal ET sequence|legend=0| 8d, 21cdef, 29, 37, 66 }} | ||
| Line 673: | Line 673: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[CTE]]: ~2 = 1200.000, ~36/35 = 54.804 | * [[CTE]]: ~2 = 1200.000{{c}}, ~36/35 = 54.804{{c}} | ||
: [[error map]]: {{val| 0.000 +4.809 -8.374 +11.958 }} | : [[error map]]: {{val| 0.000 +4.809 -8.374 +11.958 }} | ||
* [[POTE]]: ~2 = 1200.000, ~36/35 = 54.384 | * [[POTE]]: ~2 = 1200.000{{c}}, ~36/35 = 54.384{{c}} | ||
: error map: {{val| 0.000 +8.585 -2.081 +13.636 }} | : error map: {{val| 0.000 +8.585 -2.081 +13.636 }} | ||
| Line 690: | Line 690: | ||
Optimal tunings: | Optimal tunings: | ||
* CTE: ~2 = 1200.000, ~36/35 = 54.702 | * CTE: ~2 = 1200.000{{c}}, ~36/35 = 54.702{{c}} | ||
* POTE: ~2 = 1200.000, ~36/35 = 54.376 | * POTE: ~2 = 1200.000{{c}}, ~36/35 = 54.376{{c}} | ||
{{Optimal ET sequence|legend=0| 1ce, 21ce, 22 }} | {{Optimal ET sequence|legend=0| 1ce, 21ce, 22 }} | ||
| Line 705: | Line 705: | ||
Optimal tunings: | Optimal tunings: | ||
* CTE: ~2 = 1200.000, ~36/35 = 54.575 | * CTE: ~2 = 1200.000{{c}}, ~36/35 = 54.575{{c}} | ||
* POTE: ~2 = 1200.000, ~36/35 = 54.665 | * POTE: ~2 = 1200.000{{c}}, ~36/35 = 54.665{{c}} | ||
{{Optimal ET sequence|legend=0| 1ce, 21cef, 22 }} | {{Optimal ET sequence|legend=0| 1ce, 21cef, 22 }} | ||