Comparison of mode notation systems: Difference between revisions
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To find a [[MODMOS Scales|MODMOS]] scale's name, start with the genchain for the scale, which will always have gaps. Compact it into a chain without gaps by altering one or more notes. If there is more than one way to do this, the way that alters as few notes as possible is generally preferable. Determine the mode number from the __compacted__ genchain. //[This may change]// For example, for harmonic minor, A is the 4th note of the uncompacted genchain, but the 5th note of the compacted one. This is so that two notes an aug or dim fifth apart will have adjacent mode numbers. Just like A and E are adjacent, Ab and E are too. In other words, determining the mode number from the scale degree remains fifth-based. | To find a [[MODMOS Scales|MODMOS]] scale's name, start with the genchain for the scale, which will always have gaps. Compact it into a chain without gaps by altering one or more notes. If there is more than one way to do this, the way that alters as few notes as possible is generally preferable. Determine the mode number from the __compacted__ genchain. //[This may change]// For example, for harmonic minor, A is the 4th note of the uncompacted genchain, but the 5th note of the compacted one. This is so that two notes an aug or dim fifth apart will have adjacent mode numbers. Just like A and E are adjacent, Ab and E are too. In other words, determining the mode number from the scale degree remains fifth-based. | ||
Meantone[7,+3,-6] means that the 3rd note in the __compacted__ genchain is moved 7 steps to the right, and the 6th note is moved 7 steps to the left. The alterations are the exact opposite of the alterations needed to close the gaps in the uncompacted genchain. "+" and "-" are preferred over "#" and "b" because in the case of a chroma-negative generator, "+" makes the note flatter, as in the last example: | |||
|| old scale name || example in A || genchain || compacted genchain || new scale name || | || old scale name || example in A || genchain || compacted genchain || new scale name || | ||
|| Harmonic minor || A B C D E F G# A || F C * D __**A**__ E B * * G# || F C G D __**A**__ E B || 5th Meantone [7,+3] || | || Harmonic minor || A B C D E F G# A || F C * D __**A**__ E B * * G# || F C G D __**A**__ E B || 5th Meantone [7,+3] || | ||
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To find a <a class="wiki_link" href="/MODMOS%20Scales">MODMOS</a> scale's name, start with the genchain for the scale, which will always have gaps. Compact it into a chain without gaps by altering one or more notes. If there is more than one way to do this, the way that alters as few notes as possible is generally preferable. Determine the mode number from the <u>compacted</u> genchain. <em>[This may change]</em> For example, for harmonic minor, A is the 4th note of the uncompacted genchain, but the 5th note of the compacted one. This is so that two notes an aug or dim fifth apart will have adjacent mode numbers. Just like A and E are adjacent, Ab and E are too. In other words, determining the mode number from the scale degree remains fifth-based.<br /> | To find a <a class="wiki_link" href="/MODMOS%20Scales">MODMOS</a> scale's name, start with the genchain for the scale, which will always have gaps. Compact it into a chain without gaps by altering one or more notes. If there is more than one way to do this, the way that alters as few notes as possible is generally preferable. Determine the mode number from the <u>compacted</u> genchain. <em>[This may change]</em> For example, for harmonic minor, A is the 4th note of the uncompacted genchain, but the 5th note of the compacted one. This is so that two notes an aug or dim fifth apart will have adjacent mode numbers. Just like A and E are adjacent, Ab and E are too. In other words, determining the mode number from the scale degree remains fifth-based.<br /> | ||
<br /> | <br /> | ||
Meantone[7,+3,-6] means that the 3rd note in the <u>compacted</u> genchain is moved 7 steps to the right, and the 6th note is moved 7 steps to the left. The alterations are the exact opposite of the alterations needed to close the gaps in the uncompacted genchain. &quot;+&quot; and &quot;-&quot; are preferred over &quot;#&quot; and &quot;b&quot; because in the case of a chroma-negative generator, &quot;+&quot; makes the note flatter, as in the last example:<br /> | |||