7L 4s: Difference between revisions

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A temperament which spans more of the tuning range is [[sixix]], but it is high in just intonation error relative to its step sizes.

On the soft side of the scale, 7L 4s is a scale of the [[~~rarity family|~~rarity]] temperament, with tunings like [[29edo]], and [[69edo]] which are consistent in the 5-limit and therefore can be regared as simplest interpretation in the 5-limit for 7L 4s, using edo numbers alone. However, the comma itself is quite complex.

On the soft side of the scale, 7L 4s is a scale of the [[rarity]] temperament, with tunings like [[29edo]], and [[69edo]] which are consistent in the 5-limit and therefore can be regared as simplest interpretation in the 5-limit for 7L 4s, using edo numbers alone. However, the comma itself is quite complex.

7L 4s is still notable for representing [[17/14]] and [[23/19]] with tolerable accuracy for as much as that's worth.

7L 4s is still notable for representing [[17/14]] and [[23/19]] with tolerable accuracy for as much as that is worth.

== Nomenclature ==

The [[TAMNAMS Extension|extended TAMNAMS]] name for this pattern, as proposed by Eliora, is '''daemotonic'''. The name originates in the term "daemon", an archaic spelling of demon.

The name is prescribed to 7L 4s due to the fact that among relatively simple scales it has lowest degree of adherence to regular temperament theory and just intonation (see above). In addition, ''daemon'' in ancient times didn't necessarily mean an evil entity, but it could be any kind of spirit, encapsulating that 7L 4s can be found as a useful scale by composers who do not adhere to common regular temperament or consonance-based approaches. A coincidence in the cent measuring system is that two basic (L:s = 2:1) generators stacked together are equal to ~~'''~~666~~'''.6666..~~. cents.

The name is prescribed to 7L 4s due to the fact that among relatively simple scales it has lowest degree of adherence to regular temperament theory and just intonation (see above). In addition, ''daemon'' in ancient times didn't necessarily mean an evil entity, but it could be any kind of spirit, encapsulating that 7L 4s can be found as a useful scale by composers who do not adhere to common regular temperament or consonance-based approaches. A coincidence in the cent measuring system is that two basic (L:s = 2:1) generators stacked together are equal to 666.6666… cents.

From traditional TAMNAMS perspective, the scale may be called '''m-chro smitonic'''. Another name, which is deprecated but proposed for reinstation by [[User:Ganaram inukshuk|Ganaram inukshuk]], is '''suprasmitonic'''.

@@ Line 18: / Line 18: @@
 A temperament which spans more of the tuning range is [[sixix]], but it is high in just intonation error relative to its step sizes.
-On the soft side of the scale, 7L 4s is a scale of the [[rarity family|rarity]] temperament, with tunings like [[29edo]], and [[69edo]] which are consistent in the 5-limit and therefore can be regared as simplest interpretation in the 5-limit for 7L 4s, using edo numbers alone. However, the comma itself is quite complex.
+On the soft side of the scale, 7L 4s is a scale of the [[rarity]] temperament, with tunings like [[29edo]], and [[69edo]] which are consistent in the 5-limit and therefore can be regared as simplest interpretation in the 5-limit for 7L 4s, using edo numbers alone. However, the comma itself is quite complex.
-L 4s is still notable for representing [[17/14]] and [[23/19]] with tolerable accuracy for as much as that's worth.
+L 4s is still notable for representing [[17/14]] and [[23/19]] with tolerable accuracy for as much as that is worth.
 == Nomenclature ==
 The [[TAMNAMS Extension|extended TAMNAMS]] name for this pattern, as proposed by Eliora, is '''daemotonic'''. The name originates in the term "daemon", an archaic spelling of demon.
-The name is prescribed to 7L 4s due to the fact that among relatively simple scales it has lowest degree of adherence to regular temperament theory and just intonation (see above). In addition, ''daemon'' in ancient times didn't necessarily mean an evil entity, but it could be any kind of spirit, encapsulating that 7L 4s can be found as a useful scale by composers who do not adhere to common regular temperament or consonance-based approaches. A coincidence in the cent measuring system is that two basic (L:s = 2:1) generators stacked together are equal to '''666'''.6666... cents.
+The name is prescribed to 7L 4s due to the fact that among relatively simple scales it has lowest degree of adherence to regular temperament theory and just intonation (see above). In addition, ''daemon'' in ancient times didn't necessarily mean an evil entity, but it could be any kind of spirit, encapsulating that 7L 4s can be found as a useful scale by composers who do not adhere to common regular temperament or consonance-based approaches. A coincidence in the cent measuring system is that two basic (L:s = 2:1) generators stacked together are equal to 666.6666… cents.
 From traditional TAMNAMS perspective, the scale may be called '''m-chro smitonic'''. Another name, which is deprecated but proposed for reinstation by [[User:Ganaram inukshuk|Ganaram inukshuk]], is '''suprasmitonic'''.