Porwell temperaments: Difference between revisions

(3 intermediate revisions by 2 users not shown)

Line 3:

Discussed elsewhere are:

* ''[[~~Hexadecimal~~]]'' (+36/35) → [[Pelogic family #Armodue|Pelogic family]]

* ''[[Armodue]]'' (+36/35) → [[Pelogic family #Armodue|Pelogic family]]

* [[Porcupine]] (+64/63) → [[Porcupine family #Porcupine|Porcupine family]]

* [[Mohajira]] (+81/80) → [[Meantone family #Mohajira|Meantone family]]

Line 36:

: Mapping generators: ~16/15, ~3

~~{{Multival|legend=1| 11 -11 22 -43 4 82 }}~~

[[Optimal tuning]] ([[POTE]]): ~16/15 = 1\11, ~3/2 = 703.054

Line 146:

Line 144:

: Mapping generators: ~2, ~15/14

~~{{Multival|legend=1| 13 -3 11 -35 -19 34 }}~~

[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~15/14 = 130.401

Line 191:

Line 187:

: Mapping generators: ~2, ~8/7

~~{{Multival|legend=1| 19 7 -1 -33 -55 -22 }}~~

[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~8/7 = 226.4834

Line 227:

Line 221:

== Nessafof ==

: ''For the 5-limit version, see [[~~Miscellaneous_5~~-~~limit_temperaments~~#Nessafof]].''

: ''For the 5-limit version, see [[Miscellaneous 5-limit temperaments#Nessafof]].''

Cryptically named by [[Petr Pařízek]] in 2011<ref name="petr's short post">[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_101089.html Yahoo! Tuning Group | ''Some more unclassified temperaments'']</ref>, nessafof adds the [[landscape comma]] and has a third-octave period. The name actually refers to the fact that it has a neutral-second generator, and that a semi-augmented fourth, stacked 5 times, makes 5/1<ref name="petr's long post"/>.

Line 238:

Line 232:

: Mapping generators: ~63/50, ~35/32

~~{{Multival|legend=1| 21 15 -12 -25 -78 -70 }}~~

[[Optimal tuning]] ([[POTE]]): ~63/50 = 1\3, ~35/32 = 157.480

Line 298:

Line 290:

: Mapping generators: ~2, ~45/32

~~{{Multival|legend=1| 9 -19 33 -51 27 130 }}~~

[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~45/32 = 588.782

Line 371:

Line 361:

: Mapping generators: ~2, ~441/320

~~{{Multival|legend=1| 33 25 -21 -37 -126 -119 }}~~

[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~441/320 = 560.519

Line 462:

Line 450:

: Mapping generators: ~1323/1280, ~3

~~{{Multival|legend=1| 23 23 -23 -17 -101 -118 }}~~

[[Optimal tuning]] ([[POTE]]): ~1323/1280 = 1\23, ~64/63 = 29.3586

Line 546:

Line 532:

: Mapping generators: ~2, ~343/320

~~{{Multival|legend=1| 25 7 2 -47 -67 -15 }}~~

[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~343/320 = 115.9169

Line 823:

Line 807:

[[Category:Temperament collections]]

[[Category:Pages with mostly numerical content]]

[[Category:Porwell temperaments| ]]

[[Category:Porwell| ]]

[[Category:Hendecatonic]]

[[Category:Rank 2]]

@@ Line 3: / Line 3: @@
 Discussed elsewhere are:
-* ''[[Hexadecimal]]'' (+36/35) → [[Pelogic family #Armodue|Pelogic family]]
+* ''[[Armodue]]'' (+36/35) → [[Pelogic family #Armodue|Pelogic family]]
 * [[Porcupine]] (+64/63) → [[Porcupine family #Porcupine|Porcupine family]]
 * [[Mohajira]] (+81/80) → [[Meantone family #Mohajira|Meantone family]]
@@ Line 36: / Line 36: @@
 : Mapping generators: ~16/15, ~3
-{{Multival|legend=1| 11 -11 22 -43 4 82 }}
 [[Optimal tuning]] ([[POTE]]): ~16/15 = 1\11, ~3/2 = 703.054
@@ Line 146: / Line 144: @@
 : Mapping generators: ~2, ~15/14
-{{Multival|legend=1| 13 -3 11 -35 -19 34 }}
 [[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~15/14 = 130.401
@@ Line 191: / Line 187: @@
 : Mapping generators: ~2, ~8/7
-{{Multival|legend=1| 19 7 -1 -33 -55 -22 }}
 [[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~8/7 = 226.4834
@@ Line 227: / Line 221: @@
 == Nessafof ==
-: ''For the 5-limit version, see [[Miscellaneous_5-limit_temperaments#Nessafof]].''
+: ''For the 5-limit version, see [[Miscellaneous 5-limit temperaments#Nessafof]].''
 Cryptically named by [[Petr Pařízek]] in 2011<ref name="petr's short post">[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_101089.html Yahoo! Tuning Group | ''Some more unclassified temperaments'']</ref>, nessafof adds the [[landscape comma]] and has a third-octave period. The name actually refers to the fact that it has a neutral-second generator, and that a semi-augmented fourth, stacked 5 times, makes 5/1<ref name="petr's long post"/>.
@@ Line 238: / Line 232: @@
 : Mapping generators: ~63/50, ~35/32
-{{Multival|legend=1| 21 15 -12 -25 -78 -70 }}
 [[Optimal tuning]] ([[POTE]]): ~63/50 = 1\3, ~35/32 = 157.480
@@ Line 298: / Line 290: @@
 : Mapping generators: ~2, ~45/32
-{{Multival|legend=1| 9 -19 33 -51 27 130 }}
 [[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~45/32 = 588.782
@@ Line 371: / Line 361: @@
 : Mapping generators: ~2, ~441/320
-{{Multival|legend=1| 33 25 -21 -37 -126 -119 }}
 [[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~441/320 = 560.519
@@ Line 462: / Line 450: @@
 : Mapping generators: ~1323/1280, ~3
-{{Multival|legend=1| 23 23 -23 -17 -101 -118 }}
 [[Optimal tuning]] ([[POTE]]): ~1323/1280 = 1\23, ~64/63 = 29.3586
@@ Line 546: / Line 532: @@
 : Mapping generators: ~2, ~343/320
-{{Multival|legend=1| 25 7 2 -47 -67 -15 }}
 [[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~343/320 = 115.9169
@@ Line 823: / Line 807: @@
 [[Category:Temperament collections]]
+[[Category:Pages with mostly numerical content]]
 [[Category:Porwell temperaments| ]] <!-- main article -->
 [[Category:Porwell| ]] <!-- key article -->
 [[Category:Hendecatonic]]
 [[Category:Rank 2]]