1536edo: Difference between revisions

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== Theory ==

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=== As a tuning standard ===

A step of 1536edo is known as ''[[heptamu]]'' (seventh [[MIDI]]-resolution unit, ''7mu'', 2<sup>7</sup> = 128 equal divisions of the [[12edo]] semitone). The internal data structure of the 7mu requires two bytes, with the first bits of each byte reserved as flags to indicate the byte's status as data, and one bit in the first byte to indicate the sign (+ or ~~−~~) showing the direction of the pitch-bend up or down, and 6 other bits which are not used. The first data byte transmitted is the Least Significant Byte (LSB), equivalent to a fine-tuning. The second data byte transmitted is the Most Significant Byte (MSB), equivalent to a coarse-tuning.

A step of 1536edo is known as a ''[[heptamu]]'' (seventh MIDI-resolution unit, 7mu, {{nowrap|2<sup>7</sup> {{=}} 128}} equal divisions of the [[12edo]] semitone). The internal data structure of the 7mu requires two bytes, with the first bits of each byte reserved as flags to indicate the byte's status as data, and one bit in the first byte to indicate the sign (+ or −) showing the direction of the pitch-bend up or down, and 6 other bits which are not used. The first data byte transmitted is the Least Significant Byte (LSB), equivalent to a fine-tuning. The second data byte transmitted is the Most Significant Byte (MSB), equivalent to a coarse-tuning.

=== Odd harmonics ===

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** [[98304edo]] (13mu tuning)

** [[196608edo]] (14mu tuning)

== External links ==

* [http://tonalsoft.com/enc/number/7mu.aspx 7mu / heptamu] on [[Tonalsoft Encyclopedia]]

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 {{Infobox ET}}
-{{EDO intro|1536}}
+{{ED intro}}
 == Theory ==
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 === As a tuning standard ===
-A step of 1536edo is known as ''[[heptamu]]'' (seventh [[MIDI]]-resolution unit, ''7mu'', 2<sup>7</sup> = 128 equal divisions of the [[12edo]] semitone). The internal data structure of the 7mu requires two bytes, with the first bits of each byte reserved as flags to indicate the byte's status as data, and one bit in the first byte to indicate the sign (+ or &minus;) showing the direction of the pitch-bend up or down, and 6 other bits which are not used. The first data byte transmitted is the Least Significant Byte (LSB), equivalent to a fine-tuning. The second data byte transmitted is the Most Significant Byte (MSB), equivalent to a coarse-tuning.
+A step of 1536edo is known as a ''[[heptamu]]'' (seventh MIDI-resolution unit, 7mu, {{nowrap|2<sup>7</sup> {{=}} 128}} equal divisions of the [[12edo]] semitone). The internal data structure of the 7mu requires two bytes, with the first bits of each byte reserved as flags to indicate the byte's status as data, and one bit in the first byte to indicate the sign (+ or −) showing the direction of the pitch-bend up or down, and 6 other bits which are not used. The first data byte transmitted is the Least Significant Byte (LSB), equivalent to a fine-tuning. The second data byte transmitted is the Most Significant Byte (MSB), equivalent to a coarse-tuning.
 === Odd harmonics ===
@@ Line 31: / Line 31: @@
 ** [[98304edo]] (13mu tuning)
 ** [[196608edo]] (14mu tuning)
+== External links ==
+* [http://tonalsoft.com/enc/number/7mu.aspx 7mu / heptamu] on [[Tonalsoft Encyclopedia]]