Mbira dzavadzimu

Table of contents

Introduction

This instrument class represents the mbira dzavadzimu (also called mbira huru or nhare).

Erica Azim's mbira.org website contains very readable introductions to the instrument, its music and its role in a traditional cultural context .

In its most widespread contemporary layouts, this mbira has seven or eight keys in the lower left manual, seven keys in the upper left, three right thumb keys, and seven to ten right index keys.

24-key mbira dzavadzimu
by Fradreck R. Mujuru (TIC 341)
    
24-key mbira dzavadzimu with extra bass
and right index keys by Tute Chigamba
Mbira makers of the past and present have extended this layout in numerous ways, including entire manuals on both sides. In order to keep simple things simple and not overload the basic notations will all optional cases, this instrument class just contain the most common extensions: the popular optional eighth bass key at the second lowest position (B2, in Pitch notation), and up to ten right index keys.

For all kinds of further extensions to the basic layout there is a second instrument class mbira dzavadzimu (with extra keys). The notations of both instrument classes are compatible, one is a subset of the other.

Handling of the extra bass key
An important difference between the classes lies in the handling of the B2, key: when transposing and translating from other instrument classes, the mbira dzavadzimu (with extra keys) class assumes the B2, key is present. The mbira dzavadzimu class, on the other hand, considers B2, absent, so it is skipped or replaced with the B2 key one octave above.
Notations
Currently there are four notations. They are called All of them use a track for the Hosho downbeat (denoted by a dot "."), plus three or four tracks which correspond to the playing areas of the mbira:

  • RI: Keys played with the right index finger
  • RT: Keys played with the right thumb
  • L: Top left manual
  • B: Bottom left manual

All notations are convertible to and from Pitch and Pitch+Octaves. If a direct translation between two notations is not available, use two translation steps across on of these.

Click on the tabs below for a description of each notation:

The numbers indicate the key positions in each of the three playing areas from bottom to top. Following common practice, the B2x extension key is given its own name instead of shifting all subsequent numbers by one.

Key Overview
The table below shows all keys of the notation, from lowest to highest. Each row contains all possible keys for that playing area. Each column contains all keys of the same pitch.

Not all instruments may have keys matching all these notes. Red notes are alias names for the same key, if it can be played with different fingers.

Hosho.
RI45678910111213
RTL1123456
L1RT1324567
B12x234567
Aliases
The table below lists all alias keys. Row names are shown in black, cell content in red.
KeyAliasNotes
L1RTL1L1 key played with the right thumb
RT1LRT1RT1 key played with the left thumb
RI4RT4RI4 key played with the thumb instead of the index finger
RI5RT5RI4 key played with the thumb instead of the index finger
RI6RT6RI4 key played with the thumb instead of the index finger

Like Pitch+Octaves notation, but octave indication is omitted where can be deduced from the playing area. If a manual contains the same pitch class twice, the less frequently used key gets the octave indication.

Caveat: The notation uses two single quotes (''), not a double quote (") for the highest register.

Key Overview
The table below shows all keys of the notation, from lowest to highest. Each row contains all possible keys for that playing area. Each column contains all keys of the same pitch.

Not all instruments may have keys matching all these notes. Red notes are alias names for the same key, if it can be played with different fingers.

Hosho.
RI34567123''4''5''
RTL13123'45
L1RT345671'2
B12,345672
Aliases
The table below lists all alias keys. Row names are shown in black, cell content in red.
KeyAliasNotes
L1RTL1L1 key played with the right thumb
RT3LRT3RT3 key played with the left thumb
RI3RT3'RI3 key played with the thumb instead of the index finger (Note the RT3', as there is also RT3)
RI4RT4RI4 key played with the thumb instead of the index finger
RI5RT5RI5 key played with the thumb instead of the index finger

The numbers denote scale degrees (1-7) of the mbira's seven tone scale, starting with 1 as the lowest tone of both the L and B registers. Apostrophes and commas indicate the octave position relative to the middle register. e.g. 1, 1 1' 1''.

Caveat: The notation uses two single quotes (''), not a double quote (") for the highest register.

Key Overview
The table below shows all keys of the notation, from lowest to highest. Each row contains all possible keys for that playing area. Each column contains all keys of the same pitch.

Not all instruments may have keys matching all these notes. Red notes are alias names for the same key, if it can be played with different fingers.

Hosho.
RI3'4'5'6'7'1''2''3''4''5''
RT131'2'3'4'5'
L1345671'2'
B1,2,3,4,5,6,7,2
Aliases
The table below lists all alias keys. Row names are shown in black, cell content in red.
KeyAliasNotes
L1RT1L1 key played with the right thumb
RT3L3RT3 key played with the left thumb
RI3'RT3'RI3' key played with the thumb instead of the index finger
RI4'RT4'RI4' key played with the thumb instead of the index finger
RI5'RT5'RI5' key played with the thumb instead of the index finger
The Analytic notation can be used to analyze and transform the harmonic and rhythmic structure of mbira pieces, and to compose new music.

There are two kinds of tracks in this notation:

  • Tracks with notes (the first five rows of the table above)
  • Transposition tracks (the row at the bottom)
An equals sign (=) in a transposition track indicates repetition, making 1==3== the same as 111333. Each number (or repetition) in the bottom track transposes all notes in the respective column. The caption of the bottom track (4) in turn transposes the entire transposition track.
Playground for experimentation
The resultant piece in the picture is a well-known Nhemamusasa kushaura part. The bottom row contains the System of Mbira-style harmonic "standard" progression 135-136-146-246, which is lifted to the fourth degree by the 4 in the bottom left corner, thus 461-462-472-572. The = signs nicely visualize the harmonic rhythm of the piece.

With all harmonic information factored out, you can see how the remaining pattern merely contains unisons, fifths, and occasional thirds, and is repeated four times in near identical form. Looping backgrounds allow you to state this pattern only once.

On this level of abstraction, you can transform the entire piece simply by changing or moving a single number. Try it out and learn more techniques with this demonstration piece.

Adding degrees
All numbers in the table range from 1-7 and denote either scale degrees or transpositions. Since we are counting 1-7, not 0-6, the way two degrees a and b add up is not a plain addition. Therefore let us not use a+b, but a new symbol a°b, meaning "a lifted to the b-th degree".

Here is how ° works: Take a + b - 1, and subtract 7 if the result is bigger than 7.

°1234567
11234567
22345671
33456712
44567123
55671234
66712345
77123456
This way of adding degrees may be unfamiliar at first, but has the advantage of all numbers in the table being interchangeable.
Mapping notes
The Analytic notation works like an abstract mbira, with all degrees 1-7 available in all tracks.

Hosho.
RI1234567
RT1234567
L1234567
B1234567
On the real instrument, however, not all scale degrees are present in all manuals. E.g. the RT manual is made of degrees 1-3 only. Therefore, when playing back the piece, or when translating it to another notation, all notes must be mapped to existing keys.

When a note is not available in a manual, it can be either moved to another manual or octave, or get substituted, harmonically informed by the transposition tracks. There are a number of methods for this, each trying to retain a different aspect of the abstract mbira piece.

  • Retain Pitches.  Notes move to where they are found on the instrument. E.g. the non-present L3 key is moved to RT3 of the same pitch. This may result in pieces not being playable, e.g. if the right thumb is already busy with another key.
  • Retain Motor Pattern.  Each note not present in a manual is substituted by a harmonic equivalent, so that fingers keep playing the same motor pattern. This sometimes leads to large interval jumps, especially between RT and RI keys, and many note repetitions in the RT manual.
  • Retain Octaves:  Map notes so that they remain within three registers
    • All B keys → low register: B1-B7
    • All L keys → middle register: L1-L7 including B2 and RT3
    • All RT/RI keys → high register: RT1-RT7, transposing down RI1 and RI2
  • Retain Playability.  A mix of the above mappings, striving to maximize playbility of the resultant part - given that the abstract part itself is playable.
Hint: When composing pieces or exploring variations, it is generally best to start with the Retain Pitches method, and then trying the others for getting the result to the instrument.

For technical reasons, you choose the method via the Notation drop-down list. The same Analytic notation is listed four times, indicating the mapping method. To change the method, simply pick another "Analytic (...)" entry.

Transposition track rules
  • You can use any number of transposition tracks. They all add up.
  • An empty cell means that the track does not affect the transposition of that column.
  • If no number is found left of an = cell up to the beginning of a track (empty cells skipped), the lookup continues from the end of the track. This means you can always safely rotate transposition tracks along with the notes.
  • If a transposition track contains no number at all, but only =, the number 1 is substituted, allowing for purely graphical transposition patterns.

Miscellaneous
  • The L1' key is currently not reachable by Analytic notation. This means you cannot transcribe the popular RT1 L1' RT1 L1' RT1 L1'... figure in some mbira pieces, but have to use RT1 RT1 RT1 RT1... instead. This will likely change in a future update.
  • You can use any positive number, not just 1-7 in the tables. The general formula for combining degrees is a°b = 1 + (a-1 + b-1) mod 7.
Comparison of notation styles
Each notation has specific advantages and disadvantages. Here is a comparison of some aspects which led to the choice of Pitch for the public content of the website:

Position Pitch+Octaves Pitch
+ Used in various publications and score books
+ Can be used with very little previous knowledge - Requires memorizing the octave layout
- Presence of an extra key (e.g. B2) shifts all subsequent numbers in the rank + Compatible notations for instruments with and without extra keys
+ Quick identification of groups of same pitches in different octaves
+ Easy identification of symmetries between a piece's sections
+ Easy calculation of scale intervals
- Lots of apostrophes and commas
+ Looks almost as 'clean' as the Position notation
+ Can transcribe "breach of the rules", like playing the L1, B1 or RI keys with the right thumb.
+ Uses only numbers - Needs octave indication
+ A dedicated track for each of the four playing areas reflects the motoric playing patterns and their symmetries (unlike a 2 or 3 track notation).

Pitch notation with four tracks provides considerable insight into the structure of a piece, even at a glance. This makes the music accessible even for non-players. For new students of the instrument, learning the octave layout quickly pays off.

One of the design goals of the app was to avoid an authoritative standard notation, and allow users to use their own preferred formats. A later version will provide custom formats and automatic translation of pieces according to users' preferences, wherever translation is possible without loss of information.