118edo: Difference between revisions

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It has two reasonable mappings for 13. The [[patent val]] tempers out [[196/195]], [[352/351]], [[625/624]], [[729/728]], [[1001/1000]], [[1575/1573]] and [[4096/4095]]. The 118f val tempers out [[169/168]], [[325/324]], [[351/350]], [[364/363]], [[1573/1568]], [[1716/1715]] and [[2080/2079]]. It is, however, better viewed as a no-13 19-limit temperament, on which subgroup it is consistent through the [[21-odd-limit]].

Since the [[Pythagorean comma]] maps to 2 steps of 118edo, it can be interpreted as a stack of 10 [[12edo]]~~<nowiki/>~~s minus the said comma.

Since the [[Pythagorean comma]] maps to 2 steps of 118edo, it can be interpreted as a stack of ten [[12edo]]s minus the said comma{{clarify}}.

118edo is the 17th [[The Riemann Zeta Function and Tuning|zeta peak edo]].

~~=== Proposed chemical notation ===~~

118 is the number of chemical elements in the first 7 periods of the periodic table, and it is the number of elements which are ever expected to be most useful to humans. As a result, chemical element names can be used as note names in 118edo.

Interval names can be made using the suffix "-ide", as to how a 2-atom molecule would be named in chemistry. For example, fluoride for limma, chloride for 17 steps, strontide for classical major third. These are appended to the initial note. For example, an interval of 17 steps on the 1st note would be called hydrogen chloride, a limma on the 11th note would be called sodium fluoride. Classical minor 6th on 29th note would be called copper mercuride, etc.

It should be noted that vast majority of these intervals do not make chemical sense, such as apotome on the 9th note, which would be chlorine sodiide. In real life, this is impossible, as flow of electrons is always to chlorine, not from it.

=== Prime harmonics ===

==~~Table of intervals~~==

{| class="wikitable collapsible mw-collapsed"

== Intervals ==

|+Table of intervals in 118 EDO

{| class="wikitable collapsible mw-collapsible mw-collapsed"

|+ style=white-space:nowrap | Table of intervals in 118 EDO

!Step

!Name

Line 136:

Line 130:

|2/1 exact

|}

== Notation ==

=== Proposed chemical notation ===

118 is the number of chemical elements in the first 7 periods of the periodic table, and it is the number of elements which are ever expected to be most useful to humans. As a result, chemical element names can be used as note names in 118edo.

Interval names can be made using the suffix "-ide", as to how a 2-atom molecule would be named in chemistry. For example, fluoride for limma, chloride for 17 steps, strontide for classical major third. These are appended to the initial note. For example, an interval of 17 steps on the 1st note would be called hydrogen chloride, a limma on the 11th note would be called sodium fluoride. Classical minor 6th on 29th note would be called copper mercuride, etc.

It should be noted that vast majority of these intervals do not make chemical sense, such as apotome on the 9th note, which would be chlorine sodiide. In real life, this is impossible, as flow of electrons is always to chlorine, not from it.

== Regular temperament properties ==

@@ Line 19: / Line 19: @@
 It has two reasonable mappings for 13. The [[patent val]] tempers out [[196/195]], [[352/351]], [[625/624]], [[729/728]], [[1001/1000]], [[1575/1573]] and [[4096/4095]]. The 118f val tempers out [[169/168]], [[325/324]], [[351/350]], [[364/363]], [[1573/1568]], [[1716/1715]] and [[2080/2079]]. It is, however, better viewed as a no-13 19-limit temperament, on which subgroup it is consistent through the [[21-odd-limit]].
-Since the [[Pythagorean comma]] maps to 2 steps of 118edo, it can be interpreted as a stack of 10 [[12edo]]<nowiki/>s minus the said comma.
+Since the [[Pythagorean comma]] maps to 2 steps of 118edo, it can be interpreted as a stack of ten [[12edo]]s minus the said comma{{clarify}}.
 edo is the 17th [[The Riemann Zeta Function and Tuning|zeta peak edo]].
-=== Proposed chemical notation ===
-is the number of chemical elements in the first 7 periods of the periodic table, and it is the number of elements which are ever expected to be most useful to humans. As a result, chemical element names can be used as note names in 118edo.
-Interval names can be made using the suffix "-ide", as to how a 2-atom molecule would be named in chemistry. For example, fluoride for limma, chloride for 17 steps, strontide for classical major third. These are appended to the initial note. For example, an interval of 17 steps on the 1st note would be called hydrogen chloride, a limma on the 11th note would be called sodium fluoride. Classical minor 6th on 29th note would be called copper mercuride, etc.
-It should be noted that vast majority of these intervals do not make chemical sense, such as apotome on the 9th note, which would be chlorine sodiide. In real life, this is impossible, as flow of electrons is always to chlorine, not from it.
 === Prime harmonics ===
 {{primes in edo|118}}
-==Table of intervals==
-{| class="wikitable collapsible mw-collapsed"
+== Intervals ==
-|+Table of intervals in 118 EDO
+{| class="wikitable collapsible mw-collapsible mw-collapsed"
+|+ style=white-space:nowrap | Table of intervals in 118 EDO
 !Step
 !Name
@@ Line 136: / Line 130: @@
 |2/1 exact
 |}
+== Notation ==
+=== Proposed chemical notation ===
+is the number of chemical elements in the first 7 periods of the periodic table, and it is the number of elements which are ever expected to be most useful to humans. As a result, chemical element names can be used as note names in 118edo.
+Interval names can be made using the suffix "-ide", as to how a 2-atom molecule would be named in chemistry. For example, fluoride for limma, chloride for 17 steps, strontide for classical major third. These are appended to the initial note. For example, an interval of 17 steps on the 1st note would be called hydrogen chloride, a limma on the 11th note would be called sodium fluoride. Classical minor 6th on 29th note would be called copper mercuride, etc.
+It should be noted that vast majority of these intervals do not make chemical sense, such as apotome on the 9th note, which would be chlorine sodiide. In real life, this is impossible, as flow of electrons is always to chlorine, not from it.
 == Regular temperament properties ==