User:VectorGraphics/Xenxenharmonic theory: Difference between revisions

Line 57:

Up to this point, a brief overview of music has been provided involving the equal heptatonic. However, just as selecting a pentatonic can define the general feel of a song, you can also select an unequal heptatonic, allowing you an additional dimension of control over the overall feel of the song. The use of unequal heptatonics, and the practices derived from such usage, are called intonationality.

There are six simple unequal heptatonics, each of which have seven rotations; all six have their own corresponding number of substeps per octave in order to create them - these six heptatonics are constructed such that each single interval in the equal heptatonic becomes at most two in each of the unequal heptatonics.

There are six simple unequal heptatonics, each of which have seven rotations; all six have their own corresponding number of substeps per octave in order to create them - these six heptatonics are constructed such that each single interval in the equal heptatonic becomes at most two in each of the unequal heptatonics. Each pair of unequal heptatonics has a pair of maximally consistent intervals, which are reflections of one another.

{| class="wikitable"

Line 64:

!Pattern

!Substeps

!Maximally consistent interval

|-

|Supratonic-A

|LLLLLLs

|20

|Tone, hexatone

|-

|Supratonic-B

|LLsLLLs

|19

|Tritone, tetratone

|-

|Supratonic-C

|LLsLsLs

|18

|Bitone, pentatone

|-

|Subtonic-C

|ssLsLsL

|17

|Bitone, pentatone

|-

|Subtonic-B

|ssLsssL

|16

|Tritone, tetratone

|-

|Subtonic-A

|ssssssL

|15

|}

|Tone, hexatone

~~Work~~ in ~~progress~~

|}To explore the varieties of interval found in each category, we will first have to discuss just intonation. Because pitch is logarithmic, intervals correspond to pitch ratios. When the ratio is close to a simple integer ratio, the interval sounds more stable than otherwise. In the equal heptatonic, this is true for the tritone and tetratone (with ratios of 4:3 and 3:2 respectively). In contrast, the ditone sits right in between two simple ratios.

@@ Line 57: / Line 57: @@
 Up to this point, a brief overview of music has been provided involving the equal heptatonic. However, just as selecting a pentatonic can define the general feel of a song, you can also select an unequal heptatonic, allowing you an additional dimension of control over the overall feel of the song. The use of unequal heptatonics, and the practices derived from such usage, are called intonationality.
-There are six simple unequal heptatonics, each of which have seven rotations; all six have their own corresponding number of substeps per octave in order to create them - these six heptatonics are constructed such that each single interval in the equal heptatonic becomes at most two in each of the unequal heptatonics.
+There are six simple unequal heptatonics, each of which have seven rotations; all six have their own corresponding number of substeps per octave in order to create them - these six heptatonics are constructed such that each single interval in the equal heptatonic becomes at most two in each of the unequal heptatonics. Each pair of unequal heptatonics has a pair of maximally consistent intervals, which are reflections of one another.
 {| class="wikitable"
@@ Line 64: / Line 64: @@
 !Pattern
 !Substeps
+!Maximally consistent interval
 |-
 |Supratonic-A
 |LLLLLLs
 |20
+|Tone, hexatone
 |-
 |Supratonic-B
 |LLsLLLs
 |19
+|Tritone, tetratone
 |-
 |Supratonic-C
 |LLsLsLs
 |18
+|Bitone, pentatone
 |-
 |Subtonic-C
 |ssLsLsL
 |17
+|Bitone, pentatone
 |-
 |Subtonic-B
 |ssLsssL
 |16
+|Tritone, tetratone
 |-
 |Subtonic-A
 |ssssssL
 |15
-|}
+|Tone, hexatone
-Work in progress
+|}To explore the varieties of interval found in each category, we will first have to discuss just intonation. Because pitch is logarithmic, intervals correspond to pitch ratios. When the ratio is close to a simple integer ratio, the interval sounds more stable than otherwise. In the equal heptatonic, this is true for the tritone and tetratone (with ratios of 4:3 and 3:2 respectively). In contrast, the ditone sits right in between two simple ratios.