Survey of efficient temperaments by subgroup: Difference between revisions
→Table of temperaments (5 to 45 notes per equave): 2.3.5.11: por*cu*pine, flattone |
m Update |
||
| Line 67: | Line 67: | ||
== Table of temperaments (5 to 45 notes per equave) == | == Table of temperaments (5 to 45 notes per equave) == | ||
The temperaments within each cell should be sorted by accuracy, with the lowest [[damage]] (highest accuracy) temperament listed first. | The temperaments within each cell should be sorted by accuracy, with the lowest [[damage]] (highest accuracy) temperament listed first. | ||
<!-- | <!-- | ||
If you see any temperaments listed in the wrong order, or see any temperaments in the wrong | If you see any temperaments listed in the wrong order, or see any temperaments in the wrong "approx. number of notes needed" category, please move them to the correct position. | ||
If you know of a temperament that is recommended by a sizeable subset of the xen community but is not yet included here, please add it. | If you know of a temperament that is recommended by a sizeable subset of the xen community but is not yet included here, please add it. | ||
Please do not add temperaments just for the sake of filling empty cells on the table. | Please do not add temperaments just for the sake of filling empty cells on the table. It's okay for some cells to be empty. Only add temperaments if yourself, or at least a few other people, would recommend those temperaments. | ||
If you see a temperament on here that does not have good accuracy for its size in a particular subgroup, please delete that temperament from that subgroup’s row of the table. | If you see a temperament on here that does not have good accuracy for its size in a particular subgroup, please delete that temperament from that subgroup’s row of the table. | ||
--> | --> | ||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
|- | |- | ||
| Line 85: | Line 85: | ||
|- | |- | ||
! 5-limit <br>(2.3.5) | ! 5-limit <br>(2.3.5) | ||
| [[hanson]], [[misty]], [[magic]], [[meantone]], [[negri]], [[augmented]], [[porcupine]], [[ | | [[hanson]], [[misty]], [[magic]], [[meantone]], [[negri]], [[augmented (temperament)|diminished]], [[porcupine]], [[diminished (temperament)|diminished]], [[whitewood]], [[blackwood]], [[mavila]] | ||
| [[ | | [[helmholtz (temperament)|helmholtz]], [[orson]], [[würschmidt]], [[sensipent]], [[compton]], [[valentine]], [[diaschismic]], [[tetracot]], [[passion]], [[superpyth]], [[ripple]] | ||
| [[kwazy]], [[luna]], [[vishnu]], [[parakleismic]], [[escapade]], [[amity]], [[gravity]], [[rodan]] | | [[kwazy]], [[luna]], [[vishnu]], [[parakleismic]], [[escapade]], [[amity]], [[gravity]], [[rodan]] | ||
| [[enneadecal]], [[gammic]], [[vulture]] | | [[enneadecal]], [[gammic]], [[vulture]] | ||
|- | |- | ||
! 7-limit <br>(2.3.5.7) | ! 7-limit <br>(2.3.5.7) | ||
| [[porcupine]], [[pajara]], [[keemun]], [[negri]], [[doublewide]], [[injera]], [[dominant]], [[august]], [[diminished]], [[ | | [[porcupine]], [[pajara]], [[keemun]], [[negri]], [[doublewide]], [[injera]], [[dominant (temperament)|dominant]], [[august]], [[diminished (temperament)|diminished]], [[blackwood]] | ||
| [[orwell]], [[valentine]], [[myna]], [[magic]], [[meantone]], [[mothra]], [[superpyth]], [[flattone]], [[liese]], [[beatles]], [[augene]], [[hedgehog]], [[nautilus]], [[catler]], [[godzilla]], [[lemba]] | | [[orwell]], [[valentine]], [[myna]], [[magic]], [[meantone]], [[mothra]], [[superpyth]], [[flattone]], [[liese]], [[beatles]], [[augene]], [[hedgehog]], [[nautilus]], [[catler]], [[godzilla]], [[lemba]] | ||
| [[amity]], [[ | | [[amity]], [[hemiwürschmidt]], [[harry]], [[miracle]], [[garibaldi]], [[diaschismic]], [[sensi]] | ||
| [[misty]], [[unidec]], [[catakleismic]] | | [[misty]], [[unidec]], [[catakleismic]] | ||
|- | |- | ||
! 11-limit <br>(2.3.5.7.11) | ! 11-limit <br>(2.3.5.7.11) | ||
| [[triforce]], [[ | | [[triforce]], [[blackwood]], [[pajaric]], [[negric]] | ||
| [[orwell]], [[valentine]], [[mohajira]], [[porcupine]], [[hedgehog]], [[astrology]], [[vigintiduo]], [[augene]], [[nautilus]], [[catnip]], [[undevigintone]], [[injera]], [[keemun]], [[progress]], [[dominant]], [[meanenneadecal]], [[duodecim]] | | [[orwell]], [[valentine]], [[mohajira]], [[porcupine]], [[hedgehog]], [[astrology]], [[vigintiduo]], [[augene]], [[nautilus]], [[catnip]], [[undevigintone]], [[injera]], [[keemun]], [[progress]], [[dominant (temperament)|dominant]], [[meanenneadecal]], [[duodecim]] | ||
| [[mothra]], [[nusecond]], [[meantone]], [[squares]], [[quasisupra]], [[pajara]], [[telepathy]], [[suprapyth]], [[negroni]], [[porky]], [[fleetwood]], [[pajarous]], [[sensis]], [[flattone]], [[godzilla]], [[darjeeling]] | | [[mothra]], [[nusecond]], [[meantone]], [[squares]], [[quasisupra]], [[pajara]], [[telepathy]], [[suprapyth]], [[negroni]], [[porky]], [[fleetwood]], [[pajarous]], [[sensis]], [[flattone]], [[godzilla]], [[darjeeling]] | ||
| [[miracle]], [[shrutar]], [[magic]], [[meanpop]], [[migration]], [[andromeda]], [[superpyth]] | | [[miracle]], [[shrutar]], [[magic]], [[meanpop]], [[migration]], [[andromeda]], [[superpyth]] | ||
| Line 104: | Line 104: | ||
! 13-limit <br>(2.3.5.7.11.13) | ! 13-limit <br>(2.3.5.7.11.13) | ||
| [[negric]] | | [[negric]] | ||
| [[augene]], [[porcupine]], [[hedgehog]], [[triforce]], [[godzilla]], [[negri]], [[armodue]] | | [[augene]], [[porcupine]], [[hedgehog]], [[triforce]], [[godzilla]], [[negri]], [[armodue (temperament)|armodue]] | ||
| [[nusecond]], [[modus]], [[lupercalia]], [[Meantone_family#Tridecimal_meantone|meantone]], [[winston]], [[pajara]], [[sensis]], [[ringo]], [[flattone]], [[darjeeling]], [[meanenneadecal]] | | [[nusecond]], [[modus]], [[lupercalia]], [[Meantone_family#Tridecimal_meantone|meantone]], [[winston]], [[pajara]], [[sensis]], [[ringo]], [[flattone]], [[darjeeling]], [[meanenneadecal]] | ||
| [[miraculous]], [[leapday]], [[andromeda]], [[superkleismic]], [[mothra]], [[mohajira]], [[undevigintone]], [[ogene]], [[nautilus]], [[negroni]], [[injera]] | | [[miraculous]], [[leapday]], [[andromeda]], [[superkleismic]], [[mothra]], [[mohajira]], [[undevigintone]], [[ogene]], [[nautilus]], [[negroni]], [[injera]] | ||
| Line 141: | Line 141: | ||
| [[srutal archagall]], [[stutzel]] | | [[srutal archagall]], [[stutzel]] | ||
| [[sensipent]], [[nestoria]] | | [[sensipent]], [[nestoria]] | ||
| [[ | | [[würschmidt]]<ref group="note">Subgroup 2.3.5.23 version.</ref>, [[cata]] | ||
| | | | ||
|- | |- | ||
| Line 258: | Line 258: | ||
| | | | ||
| [[quadritikleismic]], [[harry]] | | [[quadritikleismic]], [[harry]] | ||
| [[quasiorwell]], [[octoid]], [[sqrtphi]], [[ | | [[quasiorwell]], [[octoid]], [[sqrtphi]], [[hemiwürschmidt]], [[ennealimnic]], [[catakleismic]] | ||
| [[hemienneadecal]], [[hemiennealimmal]], [[abigail]], [[hemitert]], [[newt]], [[decoid]], [[vishnu]] | | [[hemienneadecal]], [[hemiennealimmal]], [[abigail]], [[hemitert]], [[newt]], [[decoid]], [[vishnu]] | ||
|- | |- | ||
| Line 415: | Line 415: | ||
Sometimes, multiple higher limit temperaments are actually different ways of extending the same lower-limit temperament. In this case, they will share a pergen. This means they will have an overall similar flavor and some musical and mathematical properties in common. | Sometimes, multiple higher limit temperaments are actually different ways of extending the same lower-limit temperament. In this case, they will share a pergen. This means they will have an overall similar flavor and some musical and mathematical properties in common. | ||
If you visit the | If you visit the temperaments' individual pages, those will usually make their relationships to other temperaments more clear. | ||
Schismic/helmholtz/garibaldi/nestoria/andromeda/cassandra, and kleismic/hanson/cata are two prominent examples of temperaments on these tables sharing a pergen. There are other examples on the tables also. | Schismic/helmholtz/garibaldi/nestoria/andromeda/cassandra, and kleismic/hanson/cata are two prominent examples of temperaments on these tables sharing a pergen. There are other examples on the tables also. | ||