User:Ganaram inukshuk/Methodologies: Difference between revisions
m →Biases: Some clarification |
X-pattern with the default modes. Also added other possible "default modes". |
||
| Line 5: | Line 5: | ||
=== Examples using heptatonic mosses === | === Examples using heptatonic mosses === | ||
As an example, let's use all six more heptatonic mosses: [[1L 6s]] ( | As an example, let's use all six more heptatonic mosses: [[1L 6s]] (onyx), [[2L 5s]] (antidiatonic), [[3L 4s]] (mosh), [[4L 3s]] (smitonic), 5L 2s (diatonic), and [[6L 1s]] (archeotonic) to get the table below. All modes are sorted by modal brightness. The familiar major and minor scales are shown in '''bold'''. | ||
{| class="wikitable" | {| class="wikitable" | ||
! colspan="2" | | ! colspan="2" |Onyx | ||
! colspan="2" |Antidiatonic | ! colspan="2" |Antidiatonic | ||
! colspan="2" |Mosh | ! colspan="2" |Mosh | ||
| Line 122: | Line 122: | ||
As of the default dark mode, a similar easy answer is to say it's the third-darkest mode. However, a more interesting answer is to say it's the mode that starts with an L and ends with an L. However, this definition does not work with scales that more s's than L's; 1L 6s, 2L 5s, and 3L 4s have no such modes that fit this description. This definition can be amended to say that '''the default dark mode is the darkest mode whose step pattern starts and ends with the same step size'''. | As of the default dark mode, a similar easy answer is to say it's the third-darkest mode. However, a more interesting answer is to say it's the mode that starts with an L and ends with an L. However, this definition does not work with scales that more s's than L's; 1L 6s, 2L 5s, and 3L 4s have no such modes that fit this description. This definition can be amended to say that '''the default dark mode is the darkest mode whose step pattern starts and ends with the same step size'''. | ||
Using this assumption as a guide, we can then identify the corresponding major and minor modes of these mosses below in '''bold'''. | Using this assumption as a guide, we can then identify the corresponding major and minor modes of these mosses below in '''bold'''. Here, an emergent pattern starts to appear. | ||
{| class="wikitable" | {| class="wikitable" | ||
! colspan="2" | | ! colspan="2" |Onyx | ||
! colspan="2" |Antidiatonic | ! colspan="2" |Antidiatonic | ||
! colspan="2" |Mosh | ! colspan="2" |Mosh | ||
| Line 235: | Line 235: | ||
|sLLLLLL | |sLLLLLL | ||
|} | |} | ||
'''It's important to note that there are many ways to settle on a mos's default mode, and which mode is decided on may vary between musicians and their musical goals. This is just one way to answer the default mode question.''' | '''It's important to note that there are many ways to settle on a mos's default mode, and which mode is decided on may vary between musicians and their musical goals. This is just one way to answer the default mode question. (Also, that X-pattern.)''' | ||
=== Example using a mos with far more notes === | === Example using a mos with far more notes === | ||
| Line 251: | Line 251: | ||
Teasing out the properties of the diatonic minor scale is admittedly harder to justify. The current assumption is that the leading tone is lost, but the interval between the first and second degrees is still in its large form as seen diatonic major. This property only works for mosses that have more L's than s's, hence the amended definition described above. This currently remains untested. | Teasing out the properties of the diatonic minor scale is admittedly harder to justify. The current assumption is that the leading tone is lost, but the interval between the first and second degrees is still in its large form as seen diatonic major. This property only works for mosses that have more L's than s's, hence the amended definition described above. This currently remains untested. | ||
===== Other possible answers ===== | |||
It's also possible to default to a mos's brightest mode, or its middle mode (such as the dorian mode for diatonic). This doesn't work with mosses with an even number of steps, since there will be two middle modes. | |||
==== Comparison with other methods ==== | ==== Comparison with other methods ==== | ||
Interestingly, this definition of a default mode has some overlap with [[Naming Rank-2 Scales|Jake Freivald's method]] of enumerating a mos's modes. | Interestingly, this definition of a default mode has some overlap with [[Naming Rank-2 Scales|Jake Freivald's method]] of enumerating a mos's modes. | ||