Gravity: Difference between revisions

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#~~REDIRECT~~ [[Gravity family]]

{{Infobox regtemp

| Title = Gravity; larry

| Subgroups = 2.3.5, 2.3.5.11

| Comma basis = [[129140163/128000000]] (2.3.5); <br> [[243/242]], [[4000/3993]] (2.3.5.11)

| Edo join 1 = 7 | Edo join 2 = 58

| Generator = 27/20 | Generator tuning = 516.8 | Optimization method = POTE

| MOS scales = [[2L 5s]], [[7L 2s]], [[7L 9s]], ..., [[7L 51s]]

| Mapping = 1; 6 17 15

| Pergen = (P8, P19/6)

| Color name = Lala-tribiguti

| Odd limit 1 = 5 | Mistuning 1 = ? | Complexity 1 = 37

| Odd limit 2 = (2.3.5.11) 15 | Mistuning 2 = ? | Complexity 2 = 51

}}

'''Gravity''' is a [[rank-2 temperament|rank-2]] [[regular temperament|temperament]] and parent of the [[gravity family]], [[generator|generated]] by a [[40/27|classical grave fifth (40/27)]], six of which stacked reach the interval class of [[4/3]], and thereby characterized by the vanishing of the [[129140163/128000000|graviton]] ([[ratio]]: 129140163/128000000, {{monzo|legend=1| -13 17 -6 }}).

Gravity is most naturally seen as a [[2.3.5.11 subgroup]] temperament, sometimes known as '''larry'''. Here [[square superparticular#Sk/S(k + 1) (ultraparticulars)|S9/S10]] = [[8019/8000]] is tempered out, so that two intervals of 40/27 reach [[11/10]], and S10/S11 = [[4000/3993]] is tempered out, so that three intervals of 11/10 reach 4/3; these equivalences also imply that [[243/242]] is tempered out; three 27/20 fourths reach [[11/9]], which is equated to [[27/22]] and acts as an exact neutral third. Gravity's generator lies close to the fifth of [[7edo]], implying that the [[MOS scale]]s of gravity [[cluster temperament|cluster]] heavily around 7edo, and in this interpretation the comma reached after 7 generators simultaneously represents S9 = [[81/80]], S10 = [[100/99]], and S11 = [[121/120]].

Strong extensions with prime 7 include [[gravid]] (58 & 65), 58 & 65d, [[marvo]] (65d & 72), and [[zarvo]] (65 & 72). However, the most notable extension of gravity is [[harry]], which splits the octave in two and extends well to the 13- and [[17-limit]].

For technical data, see [[Gravity family #Gravity]].

== Interval chain ==

[[Category:Temperaments]]

[[Category:Gravity| ]]

[[Category:Gravity family]]

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-#REDIRECT [[Gravity family]]
+{{Infobox regtemp
+| Title = Gravity; larry
+| Subgroups = 2.3.5, 2.3.5.11
+| Comma basis = [[129140163/128000000]] (2.3.5); <br> [[243/242]], [[4000/3993]] (2.3.5.11)
+| Edo join 1 = 7 | Edo join 2 = 58
+| Generator = 27/20 | Generator tuning = 516.8 | Optimization method = POTE
+| MOS scales = [[2L 5s]], [[7L 2s]], [[7L 9s]], ..., [[7L 51s]]
+| Mapping = 1; 6 17 15
+| Pergen = (P8, P19/6)
+| Color name = Lala-tribiguti
+| Odd limit 1 = 5 | Mistuning 1 = ? | Complexity 1 = 37
+| Odd limit 2 = (2.3.5.11) 15 | Mistuning 2 = ? | Complexity 2 = 51
+}}
+'''Gravity''' is a [[rank-2 temperament|rank-2]] [[regular temperament|temperament]] and parent of the [[gravity family]], [[generator|generated]] by a [[40/27|classical grave fifth (40/27)]], six of which stacked reach the interval class of [[4/3]], and thereby characterized by the vanishing of the [[129140163/128000000|graviton]] ([[ratio]]: 129140163/128000000, {{monzo|legend=1| -13 17 -6 }}).
+Gravity is most naturally seen as a [[2.3.5.11 subgroup]] temperament, sometimes known as '''larry'''. Here [[square superparticular#Sk/S(k + 1) (ultraparticulars)|S9/S10]] = [[8019/8000]] is tempered out, so that two intervals of 40/27 reach [[11/10]], and S10/S11 = [[4000/3993]] is tempered out, so that three intervals of 11/10 reach 4/3; these equivalences also imply that [[243/242]] is tempered out; three 27/20 fourths reach [[11/9]], which is equated to [[27/22]] and acts as an exact neutral third. Gravity's generator lies close to the fifth of [[7edo]], implying that the [[MOS scale]]s of gravity [[cluster temperament|cluster]] heavily around 7edo, and in this interpretation the comma reached after 7 generators simultaneously represents S9 = [[81/80]], S10 = [[100/99]], and S11 = [[121/120]].
+Strong extensions with prime 7 include [[gravid]] (58 & 65), 58 & 65d, [[marvo]] (65d & 72), and [[zarvo]] (65 & 72). However, the most notable extension of gravity is [[harry]], which splits the octave in two and extends well to the 13- and [[17-limit]].
+For technical data, see [[Gravity family #Gravity]].
+== Interval chain ==
+{{todo|expand|inline=1}}
+[[Category:Temperaments]]
+[[Category:Gravity| ]] <!-- Main article -->
+[[Category:Gravity family]]