User:BudjarnLambeth/Substitute harmonic: Difference between revisions
m BudjarnLambeth moved page Substitute harmonic to User:BudjarnLambeth/Substitute harmonic |
mNo edit summary |
||
| Line 10: | Line 10: | ||
== List of substitute harmonics == | == List of substitute harmonics == | ||
Each harmonic is given in octave-reduced [[cent]]s. This list is not exhaustive. | Each harmonic is given in octave-reduced [[cent]]s. This list is not exhaustive. | ||
=== Substitutes for the 2nd harmonic (1200) === | === Substitutes for the 2nd harmonic (1200) === | ||
| Line 27: | Line 26: | ||
* the 515th harmonic (~10) | * the 515th harmonic (~10) | ||
* the 1031st harmonic (~12) | * the 1031st harmonic (~12) | ||
=== Substitutes for the 3rd harmonic (~702) === | === Substitutes for the 3rd harmonic (~702) === | ||
*the 381st harmonic (~688) | * the 381st harmonic (~688) | ||
*the 763rd harmonic (~691) | * the 763rd harmonic (~691) | ||
*the 191st harmonic (~693) | * the 191st harmonic (~693) | ||
*the 765th harmonic (~695) | * the 765th harmonic (~695) | ||
*the 383rd harmonic (~697) | * the 383rd harmonic (~697) | ||
*the 767th harmonic (~700) | * the 767th harmonic (~700) | ||
*the 769th harmonic (~704) | * the 769th harmonic (~704) | ||
*the 385th harmonic (~706) | * the 385th harmonic (~706) | ||
*the 771st harmonic (~709) | * the 771st harmonic (~709) | ||
*the 193rd harmonic (~711) | * the 193rd harmonic (~711) | ||
*the 773rd harmonic (~713) | * the 773rd harmonic (~713) | ||
*the 387th harmonic (~715) | * the 387th harmonic (~715) | ||
=== Substitutes for the 5th harmonic (~386) === | === Substitutes for the 5th harmonic (~386) === | ||
*the 317th harmonic (~370) | * the 317th harmonic (~370) | ||
*the 635th harmonic (~373) | * the 635th harmonic (~373) | ||
*the 159th harmonic (~375) | * the 159th harmonic (~375) | ||
*the 637th harmonic (~378) | * the 637th harmonic (~378) | ||
*the 319th harmonic (~381) | * the 319th harmonic (~381) | ||
*the 639th harmonic (~384) | * the 639th harmonic (~384) | ||
*the 641st harmonic (~389) | * the 641st harmonic (~389) | ||
*the 321st harmonic (~392) | * the 321st harmonic (~392) | ||
*the 643rd harmonic (~394) | * the 643rd harmonic (~394) | ||
*the 161st harmonic (~397) | * the 161st harmonic (~397) | ||
*the 645th harmonic (~400) | * the 645th harmonic (~400) | ||
*the 323rd harmonic (~402) | * the 323rd harmonic (~402) | ||
=== Substitutes for the 7th harmonic (~969) === | === Substitutes for the 7th harmonic (~969) === | ||
*the 111th harmonic (~953) | * the 111th harmonic (~953) | ||
*the 889th harmonic (~955) | * the 889th harmonic (~955) | ||
*the 445th harmonic (~957) | * the 445th harmonic (~957) | ||
*the 891st harmonic (~959) | * the 891st harmonic (~959) | ||
*the 223rd harmonic (~961) | * the 223rd harmonic (~961) | ||
*the 893rd harmonic (~963) | * the 893rd harmonic (~963) | ||
*the 447th harmonic (~965) | * the 447th harmonic (~965) | ||
*the 895th harmonic (~967) | * the 895th harmonic (~967) | ||
*the 897th harmonic (~971) | * the 897th harmonic (~971) | ||
*the 449th harmonic (~973) | * the 449th harmonic (~973) | ||
*the 899th harmonic (~975) | * the 899th harmonic (~975) | ||
*the 225th harmonic (~977) | * the 225th harmonic (~977) | ||
*the 901st harmonic (~978) | * the 901st harmonic (~978) | ||
*the 451st harmonic (~980) | * the 451st harmonic (~980) | ||
*the 903rd harmonic (~982) | * the 903rd harmonic (~982) | ||
*the 113th harmonic (~984) | * the 113th harmonic (~984) | ||
=== Substitutes for the 11th harmonic (~551) === | === Substitutes for the 11th harmonic (~551) === | ||
*the 349th harmonic (~537) | * the 349th harmonic (~537) | ||
*the 699th harmonic (~539) | * the 699th harmonic (~539) | ||
*the 175th harmonic (~541) | * the 175th harmonic (~541) | ||
*the 701st harmonic (~544) | * the 701st harmonic (~544) | ||
*the 351st harmonic (~546) | * the 351st harmonic (~546) | ||
*the 703rd harmonic (~549) | * the 703rd harmonic (~549) | ||
*the 705th harmonic (~554) | * the 705th harmonic (~554) | ||
*the 353rd harmonic (~556) | * the 353rd harmonic (~556) | ||
*the 707th harmonic (~559) | * the 707th harmonic (~559) | ||
*the 177th harmonic (~561) | * the 177th harmonic (~561) | ||
*the 709th harmonic (~564) | * the 709th harmonic (~564) | ||
*the 355th harmonic (~566) | * the 355th harmonic (~566) | ||
== Temperaments using substitute harmonics == | == Temperaments using substitute harmonics == | ||
===...with mostly sharp substitutes=== | ===...with mostly sharp substitutes=== | ||
Name these after sharp weapons. If they closely resemble another temperament, reference that temperament in the name. | Name these after sharp weapons. If they closely resemble another temperament, reference that temperament in the name. | ||
==== Daggerminished ==== | |||
====Daggerminished==== | |||
Same melodic shape as [[diminished]]. Uses sharper substitutes for prime 3, 5, 7 and 11. | Same melodic shape as [[diminished]]. Uses sharper substitutes for prime 3, 5, 7 and 11. | ||
Subgroup | Subgroup | ||
2.113.161.177.193 | 2.113.161.177.193 | ||
| Line 153: | Line 146: | ||
====Pajaraxe ==== | ==== Pajaraxe ==== | ||
Same melodic shape as [[pajara]]. Uses sharper substitutes for prime 3, 5, 7 and 11. | Same melodic shape as [[pajara]]. Uses sharper substitutes for prime 3, 5, 7 and 11. | ||
| Line 854: | Line 847: | ||
Name these after dishes which involve mixing things (e.g. stirfry, salad). If they closely resemble another temperament, reference that temperament in the name. | Name these after dishes which involve mixing things (e.g. stirfry, salad). If they closely resemble another temperament, reference that temperament in the name. | ||
== See also == | |||
==See also== | |||
Scales that make use of substitute harmonics: | Scales that make use of substitute harmonics: | ||
*[[Ed255/128]] and [[Ed257/128]] | * [[Ed255/128]] and [[Ed257/128]] | ||
*[[Intercom scales]] | * [[Intercom scales]] | ||
Other related concepts: | Other related concepts: | ||
*[[Shadow]] | * [[Shadow]] | ||
*[[Subgroup temperaments]] | * [[Subgroup temperaments]] | ||
**[[Equalizer subgroup]]s | ** [[Equalizer subgroup]]s | ||
**[[Dual-fifth temperaments]] | ** [[Dual-fifth temperaments]] | ||
**[[Half-prime subgroup]]s | ** [[Half-prime subgroup]]s | ||
*[[List of octave-reduced harmonics]] | * [[List of octave-reduced harmonics]] | ||
*[[Naughty and nice harmonics]] | * [[Naughty and nice harmonics]] | ||
[[Category:Harmonic series]] | [[Category:Harmonic series]] | ||