Comparison of mode notation systems: Difference between revisions
Wikispaces>jdfreivald **Imported revision 581135463 - Original comment: ** |
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<h2>IMPORTED REVISION FROM WIKISPACES</h2> | <h2>IMPORTED REVISION FROM WIKISPACES</h2> | ||
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=Jake Freivald method= | =Jake Freivald method= | ||
My goals for numbering the modes are to make it as simple as possible for people to identify and use the modes they're talking about. As such, desired characteristics include | My goals for numbering the modes are to make it as simple as possible for people to identify and use the modes they're talking about. As such, desired characteristics include | ||
(1) as little knowledge needed as possible, to help the less-sophisticated user, | (1) as little knowledge needed as possible, to help the less-sophisticated user, | ||
(2) reasonably intuitive if possible, | (2) reasonably intuitive if possible, | ||
(3) easy to remember and check your own work, and therefore | (3) easy to remember and check your own work, and therefore | ||
(3a) biased toward major being the "right" answer for meantone[7], and | (3a) biased toward major being the "right" answer for meantone[7], and | ||
(4) extensibility of the method beyond MOS. | (4) extensibility of the method beyond MOS. | ||
I've created a method that uses step sizes, generally identified as s for small, M for medium, and L for large. (That would need to be extended for scales with more than three sizes of steps, of course, but the principle remains the same.) | I've created a method that uses step sizes, generally identified as s for small, M for medium, and L for large. (That would need to be extended for scales with more than three sizes of steps, of course, but the principle remains the same.) | ||
Once a mode 1 has been identified, each mode is counted up by steps from the root of mode 1. | Once a mode 1 has been identified, each mode is counted up by steps from the root of mode 1. | ||
For example, using my method starting on C for meantone[7]: | For example, using my method starting on C for meantone[7]: | ||
mode 1 is C major (LLsLLLs) | mode 1 is C major (LLsLLLs) | ||
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Note the things I *don't* need to know to do this: I don't have to know what a generator is, what mappings are, what utonality or otonality is, or a host of other things. I won't get confused by seeing intervals that don't map to JI well (e.g., phi). This is, in fact, just basic string manipulation. | Note the things I *don't* need to know to do this: I don't have to know what a generator is, what mappings are, what utonality or otonality is, or a host of other things. I won't get confused by seeing intervals that don't map to JI well (e.g., phi). This is, in fact, just basic string manipulation. | ||
I also have built-in checks: I know that if I start and end with the same step size that I'm doing something wrong, and using the technique for meantone[ | I also have built-in checks: I know that if I start and end with the same step size that I'm doing something wrong, and using the technique for meantone[7] gives me the diatonic major scale LLsLLLs, or CDEFGABC. | ||
==Extending to non-MOS== | ==Extending to non-MOS== | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:24:&lt;h1&gt; --><h1 id="toc12"><a name="Jake Freivald method"></a><!-- ws:end:WikiTextHeadingRule:24 -->Jake Freivald method</h1> | <!-- ws:start:WikiTextHeadingRule:24:&lt;h1&gt; --><h1 id="toc12"><a name="Jake Freivald method"></a><!-- ws:end:WikiTextHeadingRule:24 -->Jake Freivald method</h1> | ||
My goals for numbering the modes are to make it as simple as possible for people to identify and use the modes they're talking about. As such, desired characteristics include <br /> | My goals for numbering the modes are to make it as simple as possible for people to identify and use the modes they're talking about. As such, desired characteristics include<br /> | ||
(1) as little knowledge needed as possible, to help the less-sophisticated user, <br /> | (1) as little knowledge needed as possible, to help the less-sophisticated user,<br /> | ||
(2) reasonably intuitive if possible, <br /> | (2) reasonably intuitive if possible,<br /> | ||
(3) easy to remember and check your own work, and therefore <br /> | (3) easy to remember and check your own work, and therefore<br /> | ||
(3a) biased toward major being the &quot;right&quot; answer for meantone[7], and <br /> | (3a) biased toward major being the &quot;right&quot; answer for meantone[7], and<br /> | ||
(4) extensibility of the method beyond MOS.<br /> | (4) extensibility of the method beyond MOS.<br /> | ||
<br /> | <br /> | ||
I've created a method that uses step sizes, generally identified as s for small, M for medium, and L for large. (That would need to be extended for scales with more than three sizes of steps, of course, but the principle remains the same.)<br /> | I've created a method that uses step sizes, generally identified as s for small, M for medium, and L for large. (That would need to be extended for scales with more than three sizes of steps, of course, but the principle remains the same.)<br /> | ||
<br /> | <br /> | ||
Once a mode 1 has been identified, each mode is counted up by steps from the root of mode 1. <br /> | Once a mode 1 has been identified, each mode is counted up by steps from the root of mode 1.<br /> | ||
For example, using my method starting on C for meantone[7]:<br /> | For example, using my method starting on C for meantone[7]:<br /> | ||
mode 1 is C major (LLsLLLs)<br /> | mode 1 is C major (LLsLLLs)<br /> | ||
| Line 1,626: | Line 1,626: | ||
Note the things I *don't* need to know to do this: I don't have to know what a generator is, what mappings are, what utonality or otonality is, or a host of other things. I won't get confused by seeing intervals that don't map to JI well (e.g., phi). This is, in fact, just basic string manipulation.<br /> | Note the things I *don't* need to know to do this: I don't have to know what a generator is, what mappings are, what utonality or otonality is, or a host of other things. I won't get confused by seeing intervals that don't map to JI well (e.g., phi). This is, in fact, just basic string manipulation.<br /> | ||
<br /> | <br /> | ||
I also have built-in checks: I know that if I start and end with the same step size that I'm doing something wrong, and using the technique for meantone[ | I also have built-in checks: I know that if I start and end with the same step size that I'm doing something wrong, and using the technique for meantone[7] gives me the diatonic major scale LLsLLLs, or CDEFGABC.<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:26:&lt;h2&gt; --><h2 id="toc13"><a name="Jake Freivald method-Extending to non-MOS"></a><!-- ws:end:WikiTextHeadingRule:26 -->Extending to non-MOS</h2> | <!-- ws:start:WikiTextHeadingRule:26:&lt;h2&gt; --><h2 id="toc13"><a name="Jake Freivald method-Extending to non-MOS"></a><!-- ws:end:WikiTextHeadingRule:26 -->Extending to non-MOS</h2> | ||