deg – translate selected Humdrum pitch-related representations to relative scale degree (**deg)
`` deg [-k|K key] [-tx] [inputfile ...] [> outputfile.deg]``
The deg command transforms various pitch-related inputs to the corresponding scale degree. The command outputs one or more Humdrum **deg spines – where scale degrees are indicated by the numbers 1 (tonic) to 7 (leading tone). Scale degree information can be determined only with reference to some prevailing key. For example, the pitch C4 is the tonic (1) in the key of C major, but the submediant (6) in the key of E minor. The deg command expects a tandem interpretation indicating the key of the input passage; deg will adapt to specified changes of key within an input. If no key information is provided prior to the first pitch-related data, deg issues an error message and terminates.
The deg command differs from the (related) **degree** command in that it outputs relative (rather than absolute) pitch-height information. Upward pitch motions are indicated by the caret (^), whereas downward pitch motions are indicated by the lower-case letter `v’. Hence, the token `1’ followed by `^5’ means that the ensuing dominant pitch is above rather than below the preceding tonic pitch. No absolute pitch-height information is represented. As in the case of **degree**, plus and minus signs indicate whether a pitch has been chromatically raised or lowered. For example, the pitch A-flat is designated `6-‘ in the key of C major, but `6’ in the key of C minor. The harmonic minor scale is assumed for all minor keys. Thus, B-flat is considered a “lowered” seventh degree in C minor, whereas B natural is considered the “normal” (rather than “raised”) seventh degree. For some applications, this interpretation of the minor-scale seventh degree may cause difficulties.
The deg command is able to translate any of the pitch-related representations listed below. For descriptions of the various input representations (including **deg) refer to Section 2 (Representation Reference) of this reference manual.
It is recommended that output files produced using the deg command should be given names with the distinguishing `.deg’ extension.
**kern core pitch/duration representation **pitch American National Standards Institute pitch notation (e.g. “A#4”) **solfg French solfège system (fixed `doh’) **Tonh German pitch system
Input representations processed by **deg*.*
The deg command provides the following options:
displays a help screen summarizing the command syntax
specify default key
specify override key
suppresses printing of all but the first note of a group of tied **kern notes
The -t option ensures that only a single output value is given for tied **kern notes; the output coincides with the first note of the tie.
In the default operation, deg outputs non-pitch-related signifiers in addition to the degree value. For example, in the key of D major, the **pitch token “G5zzz” will result in the output “4zzz” – that is, after translating G5 to 4, the “zzz” signifiers are retained in the output. For some applications, echoing non-pitch-related signifiers in the output is useful. However, in other situations, the result can prove confusing – especially, when the non-pitch-related signifiers are numbers. Consider the case of the **kern token “4f#” in the key of D minor; after translating `f#‘ to `3+‘ (i.e. raised third degree), the preceding non-pitch-related signifier `4‘ will also be output, hence the value 43+ – which may cause confusion.
The -x option is useful for eliminating non-pitch-related signifiers from the output. For most **kern inputs, the -x option is recommended.
The following example illustrates the use of deg. The input contains four pitch-related spines – one of which (**MIDI) cannot be processed by deg. In addition, there is one non-pitch-related spines (**embell).!! `deg’ example. **kern **Tonh **MIDI **solfg **pitch **embell *M2/4 *M2/4 *M2/4 *M2/4 *M2/4 *M2/4 *C: *d: *G#: *a: *F: *F: =1 =1 =1 =1 =1 =1 8ee- Gis2 /60/ do3 F4foo ct . . /-60/ . . . 8f H2 /62/ fa3 r upt . . /-62/ . . . 8dd- B2 /70/ mi3 E4 ct . . /-70/ . . . 8d– Cis4 /61/ r F4 sus . . /-61/ . . . =2 =2 =2 =2 =2 =2 [4a- r . mi~b3 F4 A4 . . Heses2 . re3 G4 Bb4 ct 4a-] C3 /48/ /52/ do3 E4 C5 ct . . /-48/ . . . . H2 E3 /-52/ la3 G4 ct =3 =3 =3 =3 =3 =3 r A2 F3 . r F4 . === === === === === === *- *- *- *- *- *-
Executing the command:
`` deg -tx input > output.deg``
produces the following result:!! `deg’ example. **deg **deg **MIDI **deg **deg **embell *M2/4 *M2/4 *M2/4 *M2/4 *M2/4 *M2/4 *C: *d: *G#: *a: *F: *F: =1 =1 =1 =1 =1 =1 3- 4+ /60/ 3 1 ct . . /-60/ . . . v4 ^6+ /62/ ^6 r upt . . /-62/ . . . ^2- v6 /70/ v5 v7 ct . . /-70/ . . . v2- ^7 /61/ r ^1 sus . . /-61/ . . . =2 =2 =2 =2 =2 =2 ^6- r . v5- 1 ^3 . . v6- . v4 v2 ^4 ct . ^7- /48/ /52/ v3 v7 ^5 ct . . /-48/ . . . . v6+ ^2 /-52/ ^1 v2 ct =3 =3 =3 =3 =3 =3 r v5 ^3 . r v1 . === === === === === === *- *- *- *- *- *-
Both processed and unprocessed spines are output. Notice that the tied note at the beginning of measure 2 in the **kern spine has been rendered as a single note rather than as two notes (due to the -t option). Also notice that the non-pitch-related signifiers (e.g. foo) in the first notes of the **pitch spine have been stripped away (due to the -x option). Note that the plus and minus signs merely indicate that a scale degree has been raised or lowered, but not by how much. Hence both the D-flat and D double-flat in measure 1 of the first (**kern) spine are rendered as `2-‘.
The file x_option.awk is used by this program when the -x option is invoked.
DOS 2.0 and up, with the MKS Toolkit. OS/2 with the MKS Toolkit. UNIX systems supporting the Korn shell or Bourne shell command interpreters, and revised awk (1985).
- **Pertinent description in the Humdrum User Guide**
- **Index to Humdrum Commands**
- **Table for Contents for Humdrum User Guide**