Verse:Hmøøh: Difference between revisions

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==Musical cultures==

Logarithmic measure of intervals: exp(1/1728)

Logarithmic measure of intervals: exp(1/1728 ≈ 1.00187156

===Eastern Etalocin===

====Instruments====

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*Older music uses 5, 7 limit JI scales (a variety of them; or free JI?)

*Culminates in 11 limit JI and temperaments (mostly as approximations to JI; perhaps also a temperament-temperament like say 22edo).

*Scúdhainn ~~formally~~ defined the concept of linear temperaments and used some rank-2 temperaments for the first time in her musical œuvre. (Matrices were known by then! Also linear temperaments arise naturally from equating similar intervals in constant structures)

*Scúdhainn defined the concept of linear temperaments and used some rank-2 temperaments for the first time in her musical œuvre. (Matrices were known by then! Also linear temperaments arise naturally from equating similar intervals in constant structures)

*Dekanies and eikosanies

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====Notation====

How can high-dimensional interval space x time be represented on two-dimensional paper?

*Grid + accidentals - that's basically our system

~~"Scale~~-~~neutral" notation:~~

~~# Notes are written on a staff similar to~~ our ~~staff but the scale is 8:9:10:11:12:13:14:15:16, not the diatonic scale~~

~~## Lines are proportionally spaced~~

~~# Accidentals indicate various small intervals~~

# Shift of fundamental: Let (x,t) be a tuple of the form (level on staff, time). When you draw a point (x1, t1) and another point (x2, t2) after that, and connect them with a curved line, then x1 and x2 are "identified" and the fundamental shifts accordingly (from time t2 on).

Tempo markings and other staff directions are in [[Koine Netagin]]

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Less emphasis on voice

~~"Xenrhythms"~~

Math rock-like rhythms, among them self-similar rhythms

===Naquosphere===

~~Schulterian fifths/Peppermint-24~~

==Religions, mysticism and philosophy==

@@ Line 131: / Line 131: @@
 ==Musical cultures==
-Logarithmic measure of intervals: exp(1/1728)
+Logarithmic measure of intervals: exp(1/1728 ≈ 1.00187156
 ===Eastern Etalocin===
 ====Instruments====
@@ Line 172: / Line 172: @@
 *Older music uses 5, 7 limit JI scales (a variety of them; or free JI?)
 *Culminates in 11 limit JI and temperaments (mostly as approximations to JI; perhaps also a temperament-temperament like say 22edo).
-*Scúdhainn formally defined the concept of linear temperaments and used some rank-2 temperaments for the first time in her musical œuvre. (Matrices were known by then! Also linear temperaments arise naturally from equating similar intervals in constant structures)
+*Scúdhainn defined the concept of linear temperaments and used some rank-2 temperaments for the first time in her musical œuvre. (Matrices were known by then! Also linear temperaments arise naturally from equating similar intervals in constant structures)
 *Dekanies and eikosanies
@@ Line 190: / Line 190: @@
 ====Notation====
 How can high-dimensional interval space x time be represented on two-dimensional paper?
+*Grid + accidentals - that's basically our system
-"Scale-neutral" notation:
-# Notes are written on a staff similar to our staff but the scale is 8:9:10:11:12:13:14:15:16, not the diatonic scale
-## Lines are proportionally spaced
-# Accidentals indicate various small intervals
-# Shift of fundamental: Let (x,t) be a tuple of the form (level on staff, time). When you draw a point (x1, t1) and another point (x2, t2) after that, and connect them with a curved line, then x1 and x2 are "identified" and the fundamental shifts accordingly (from time t2 on).
 Tempo markings and other staff directions are in [[Koine Netagin]]
@@ Line 205: / Line 199: @@
 Less emphasis on voice
-"Xenrhythms"
+Math rock-like rhythms, among them self-similar rhythms
 ===Naquosphere===
-Schulterian fifths/Peppermint-24
 ==Religions, mysticism and philosophy==