Mabilic and trismegistus: Difference between revisions

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{{Infobox regtemp

| ~~Optimization method~~ = ~~POTE~~

| Title = Mabilic; Trismegistus

| ~~Generator tuning~~ = ~~527~~.~~236~~

| Subgroups = 2.5.7; 2.3.5.7

| Comma basis = 1071875/1048576 (2.5.7); <br>1029/1024, 3125/3072 (2.3.5.7)

| Edo join 1 = 16 | Edo join 2 = 25

| Mapping = 1; -15 -3 5

| Generators = 175/128

| Generators tuning = 526.7

| Optimization method = CWE

| Ploidacot = alpha-triseph

| ~~Subgroups~~ = 2.5.7~~; 2.3.5.7~~

| Odd limit 1 = 2.5.7 35 | Mistuning 1 = ? | Complexity 1 = 16

| ~~Title~~ = ~~Mabilic; Trismegistus~~

| Odd limit 2 = add-25 add-35 7 | Mistuning 2 = 5.9 | Complexity 2 = 25

| ~~Comma basis = 1071875/1048576 (2.5.7); <br> 1029/1024, 3125/3072 (2.3.5.7)~~

~~| Generator = 175/128~~

~~| Edo join~~ 1 = 16 ~~| Edo join 2 = 25~~

~~| Odd limit 1 = (2.5.7) 35~~ | Odd limit 2 = add-25 add-35 7

~~| Mistuning 1 = ?~~ | Mistuning 2 = 5.9

~~| Complexity 1 = 16~~ | Complexity 2 = 25

}}

'''Mabilic''' is a [[regular temperament|temperament]] in the [[2.5.7 subgroup|2.5.7]] [[subgroup]] where [[5/2]] is split into three [[generator]]s, five of which octave-reduced reach [[8/7]]. The generator is a sharpened fourth (or, conversely, a flattened fifth) in size, best tuned around 528 [[cent]]s. Mabilic, as a result, tempers out the [[mabilisma]] 1071875/1048576. Mabilic is arrived at by removing the inaccurate 3/2 mapping from [[armodue (temperament)|armodue]] temperament. As such, mabilic can be associated with [[mos scale]]s like [[antidiatonic]] and [[armotonic]]. Thus, while the generating interval is not [[3/2]], [[2L 5s #Notation|melodic]] [[chain-of-fifths notation]] makes some amount of sense to use here.

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 {{Infobox regtemp
-| Optimization method = POTE
+| Title = Mabilic; Trismegistus
-| Generator tuning = 527.236
+| Subgroups = 2.5.7; 2.3.5.7
+| Comma basis = 1071875/1048576 (2.5.7); <br>1029/1024, 3125/3072 (2.3.5.7)
+| Edo join 1 = 16 | Edo join 2 = 25
 | Mapping = 1; -15 -3 5
+| Generators = 175/128
+| Generators tuning = 526.7
+| Optimization method = CWE
 | Ploidacot = alpha-triseph
-| Subgroups = 2.5.7; 2.3.5.7
+| Odd limit 1 = 2.5.7 35 | Mistuning 1 = ? | Complexity 1 = 16
-| Title = Mabilic; Trismegistus
+| Odd limit 2 = add-25 add-35 7 | Mistuning 2 = 5.9 | Complexity 2 = 25
-| Comma basis = 1071875/1048576 (2.5.7); <br> 1029/1024, 3125/3072 (2.3.5.7)
-| Generator = 175/128
-| Edo join 1 = 16 | Edo join 2 = 25
-| Odd limit 1 = (2.5.7) 35 | Odd limit 2 = add-25 add-35 7
-| Mistuning 1 = ? | Mistuning 2 = 5.9
-| Complexity 1 = 16 | Complexity 2 = 25
 }}
 '''Mabilic''' is a [[regular temperament|temperament]] in the [[2.5.7 subgroup|2.5.7]] [[subgroup]] where [[5/2]] is split into three [[generator]]s, five of which octave-reduced reach [[8/7]]. The generator is a sharpened fourth (or, conversely, a flattened fifth) in size, best tuned around 528 [[cent]]s. Mabilic, as a result, tempers out the [[mabilisma]] 1071875/1048576. Mabilic is arrived at by removing the inaccurate 3/2 mapping from [[armodue (temperament)|armodue]] temperament. As such, mabilic can be associated with [[mos scale]]s like [[antidiatonic]] and [[armotonic]]. Thus, while the generating interval is not [[3/2]], [[2L 5s #Notation|melodic]] [[chain-of-fifths notation]] makes some amount of sense to use here.