5L 3s: Difference between revisions

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! Mode

! Name

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| LLsLLsLs

| Dylathian

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| LLsLsLLs

| Ilarnekian

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| LsLLsLLs

| Celephaïsian

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| LsLLsLsL

| Ultharian

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| LsLsLLsL

| Mnarian

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| sLLsLLsL

| Kadathian

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| sLLsLsLL

| Hlanithian

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| sLsLLsLL

| Sarnathian

|}

|}

[[Hypohard]] oneirotonic tunings (with generator between 5\13 and 7\18) have step ratios between 2/1 and 3/1.  

|-

!

|-

| generator (g)

{| class="wikitable right-2 right-3 right-4 sortable "

|-

! Size in 13edo (basic)

! Size in 18edo (hard)

! Size in 31edo (semihard)

! #Gens up

|- style="background-color: #eaeaff;"

<references />

[[Hyposoft]] oneirotonic tunings (with generator between 8\21 and 5\13) have step ratios between 3/2 and 2/1. The 8\21-to-5\13 range of oneirotonic tunings remains relatively unexplored. In these tunings,  

* the large step of oneirotonic tends to be intermediate in size between [[10/9]] and [[11/10]]; the small step size is a semitone close to [[17/16]], about 92¢ to 114¢.

{| class="wikitable right-2 right-3 sortable "

|-

! Size in 21edo (soft)

! Size in 34edo (semisoft)

! #Gens up

|- style="background-color: #eaeaff;"

|}

The range of oneirotonic tunings of step ratio between 6/5 and 3/2 (thus in the [[parasoft]] to [[ultrasoft]] range) may be of interest because it is closely related to [[porcupine]] temperament: these tunings equate three oneirotonic large steps to a diatonic perfect fourth, i.e. they equate the oneirotonic large step to a [[porcupine]] generator. [This identification may come in handy since many altered oneirotonic modes have three consecutive large steps.] The chord 10:11:13 is very well approximated in 29edo.

| 4\37, 129.73

|}

==== Intervals====

The intervals of the extended generator chain (-15 to +15 generators) are as follows in various softer-than-soft oneirotonic tunings.

===Parahard===

23edo oneiro combines the sound of neogothic tunings like [[46edo]] and the sounds of "superpyth" and "semaphore" scales. This is because 23edo oneirotonic has a large step of 208.7¢, same as [[46edo]]'s neogothic major second, and is both a warped [[22edo]] [[superpyth]] [[diatonic]] and a warped [[24edo]] [[semaphore]] [[semiquartal]] (and both nearby scales are [[superhard]] MOSes).

====Intervals====

The intervals of the extended generator chain (-12 to +12 generators) are as follows in various oneirotonic tunings close to [[23edo]].  

{| class="wikitable right-2 right-3 sortable "

|-

! Size in 23edo (superhard)

! #Gens up

|- style="background-color: #eaeaff;"

|}

[[Buzzard]] is an oneirotonic rank-2 temperament in the [[Step ratio|pseudopaucitonic]] range. It represents the only [[harmonic entropy]] minimum of the oneirotonic spectrum.

! Size in 63edo

! Size in POTE tuning

! #Gens up

|-

* [[5L 3s/Temperaments]]

[[File:The Angels' Library edo.mp3]] [[:File:The Angels' Library edo.mp3|The Angels' Library]] by [[Inthar]] in the Sarnathian (23233233) mode of 21edo oneirotonic ([[:File:The Angels' Library Score.pdf|score]])

* [[File:Inthar-13edo Oneirotonic Studies 8 Kadathian.mp3]]: Tonal Study in Kadathian

Generator ranges:

* Bright generator: 450 cents (3\8) to 480 cents (2\5)

* Dark generator: 720 cents (3\5) to 750 cents (5\8)

[[Category:Oneirotonic| ]] <!-- sort order in category: this page shows above A -->

[[Category:Pages with internal sound examples]]

[[Category:8-tone scales]]