Network Statistics

Path Length

Mean: 7.791 steps

The average path length is the mean geodesic diststance from any node (album) to any other node in the network.

Median: 7.535 steps

The median value is the middle value of all path lengths in the network. A median value less than the statistical mean denotes a network that is primarily centralized with outliers skewing the average path length.

Most Central Bands

1. Pigface : 5.001 average path length.

2. King Crimson : 5.100 average path length.

3. Tater Totz : 5.141 average path length.

4. Original Silence : 5.234 average path length.

5. Guns N Roses : 5.244 average path length.

The average path length is the mean geodesic distance from a particular band to any other band based upon the connection of albums in the path. For example to move from the band Animals II to Solid Senders, the path length would be 4:

Animals II "Greatest Hits" » Dr. Feelgood "Chess Masters" » Dr. Feelgood "Doctor's Orders" » Dr. Feelgood "Malpractice" » Solid Senders "s/t"

Most Distant Bands

1. Glenn Fletcher : 18.376 average path length.

3. Indigo Rocks : 17.175 average path length.

4. Nico Vega : 16.893 average path length.

5. Blood And Water : 16.777 average path length.

This is the band with the largest average geodesic distance based upon album connections when walking the path.

Jordan Center

The Jordan Center of a network are those nodes whose maximum geodesic distances are the smallest found in the graph. In this case, the bands comprising the jordan center share a maximum distance for their particular tree, the value of which is the minimum maximum found. In other words, for every band find the number of steps to the farthest band from it. Take all those maximum values and see which bands have the smallest maximum value and that subset of bands can be considered to be the most central in the network.

Degree Centrality : 1st Level

1. The Dedication Orchestra : 252 degrees.

2. The Jazz Composer's Orchestra : 243 degrees.

3. Art Blakey And The Jazz Messengers : 222 degrees.

4. Cecil Taylor European Orchestra : 212 degrees.

5. London Improvisers Orchestra : 211 degrees.

The degree centrality measure is based upon the maximal nodal degree of a band relative to its family tree. The 1st level measure is the band with the most bands directly connected to it.

Degree Centrality : 2nd Level

1. The Jazz Composer's Orchestra : 2256 degrees.

2. Berlin Contemporary Jazz Orchestra : 2062 degrees.

3. Mike Gibbs Orchestra : 2022 degrees.

4. The Dedication Orchestra : 1908 degrees.

5. Globe Unity Orchestra : 1905 degrees.

The degree centrality measure is based upon the maximal nodal degree of a band relative to its family tree. The 2nd level is the number of bands within 2 steps (including the bands from the 1st level).

Graph Density

0.000599

The graph density reflects how interconnected the network is and is calculated by:
A complete graph, where every node (album line-up) is connected to every other node, would have a density of 1 while a network with no connected nodes would have a density of 0.

density = 2L / g (g-1)

L = number of lines in graph

g = number of nodes in graph

Graph Diameter

The graph's diameter, otherwise known as the longest link, is the longest path within the network.

Band Statistics

Longest Careers

1. Temptations : 57 years

2. Rolling Stones : 54 years

3. The Monkees : 53 years

A band's career is measured by their earliest recording or release date (if no recording date is available) versus the latest recording date available. Only maximum recording dates are used for a career's upper bound as material may be released well after a band has retired from recording music. This computation does not include solo artists.

Most Members

1. Arcana Orchestra : 88 members.

2. The Salsoul Orchestra : 83 members.

3. Spirits Burning : 76 members.

4. Mike Westbrook Orchestra : 72 members.

5. Bobby Shad And The Bad Men : 62 members.

The number of members only includes distinct artists, regardless of how many line-ups those artists appeared in.

Most Line-ups

1. The Fall : 34 line-ups.

2. Hawkwind : 32 line-ups.

3. Annihilator : 23 line-ups.

4. Art Blakey And The Jazz Messengers : 22 line-ups.

The number of line-ups only includes distinct line-ups, regardless of any that may have reformed later in the band's history.

Multiple Mutually Exclusive Line-ups

Love Affair (A:E:F)

Napalm Death (A:D:G)

Renaissance (A:C:I)

The Poets (UK) (A:C:D)

Uniform Choice (A:B:D)

Napalm Death (A:D:G)

Renaissance (A:C:I)

The Poets (UK) (A:C:D)

Uniform Choice (A:B:D)

Multiple mutually exclusive line-ups are completely distinct from one another. They represent multiple musician composition changes within a band's lifetime.

Contiguous Mutually Exclusive Line-ups

Asphyx (D:E), Audio Adrenaline (D:E), Autograph (D:E), Beggars Opera (F:G), Bill Black's Combo (B:C), Brooklyn Funk Essentials (A:B), Diabolic (D:E), Doggy Style (B:C), Dr. Know (D:E), Edge Of Sanity (B:C), Electric Prunes (B:C), Gong (J:K), Highway Chile (C:D), Iniquity (D:E), Kermit (A:B), Lake (DE) (E:F), Love Affair (D:E), Love Affair (E:F), Marmalade (C:D), New Riders Of The Purple Sage (I:J), Rattles (A:B), Rattles (C:D), Renaissance (B:C), Rupert's People (A:B), Silver Convention (A:B), TSOL (E:F), The Big Three (UK) (B:C), The Drifters (US) (C:D), The Flying Burrito Brothers (E:F), The Guess Who (E:F), The Jazz Messengers (C:D), The Poets (UK) (C:D), Tygers Of Pan Tang (E:F), Tyran' Pace (C:D), Uniform Choice (A:B), Velvet Underground (E:A), Vengeance (NL) (E:F), Vixen (US 2) (B:C)

Contiguous mutually exclusive line-ups are two line-ups which occur in chronological order in the band's recording history that do not share a single member. The band's musician composition has completely changed from one recording to the next.

Number of Band Members

Mean: 4.2259 members

The mean value is the average number of members in a band at the time of a recording. This excludes solo artists which are considered single member bands.

Median: 4 members

The median value is the middle value of a sorted list of all found number of members in a band. A median value close to the mean denotes an evenly distributed set of values.

Mode: 4 members

The modal value is the most commonly occuring number of members found in a band.

A distribution of the number of members in a band at the time of a recording.

Artist Statistics

Longest Careers

1. Kasper Malone : 79 years

2. Lee Konitz : 67 years

3. Ahmad Jamal : 66 years

An artist's career is measured by their earliest recording or release date (if no recording date is available) versus the latest recording date available. Only maximum recording dates are used for a career's upper bound as material may be released well after an artist has retired from recording music.

Most Bands

1. Evan Parker : 55 bands

2. Richard Ramirez : 55 bands

3. Patrick Doyle (US) : 50 bands

4. William Parker (US 1) : 47 bands

5. Ken Vandermark : 42 bands

A clique is a fully connected subgraph. In this case it means that every band in a clique is connected to every other band in the subgraph through a shared member or members. Every artist who was a member of three or more bands creates his or her own clique while the largest fully connected subgraph in the network is the largest set of bands any one artist played in. While it is theoretically possible for a larger clique to exist, comprised of the relationships of more than one artist, the probability of one existing is extremely, extremely unlikely.

Most Collaborators

1. Evan Parker : 303 artists

2. Paul Rutherford (UK 1) : 236 artists

3. Kenneth Wheeler : 230 artists

4. Randy Brecker : 179 artists

5. Harold Beckett : 178 artists

Artists who have worked with the most other distinct artists in various bands throughout their career.

Most Common Names

1. John Anderson : 10 artists

2. Chris Smith, Chris Taylor : 9 artists

3. Steve Wilson : 8 artists

Common names are the standardized full names which are shared by more than one artist.

Solo Artists

4070 solo artists

Solo artists are considered single member bands and comprise 13.15% of the total number of bands in the network.

Album Statistics

Release Dates

A distribution of the number of albums found in the database sorted by release year from 1910 to 2019.

Earliest Albums

Most Members

Search Tree

Statistics

- Bands in tree:
**30951** - Albums in tree:
**70001** - Artists in tree:
**76331** - Previews ♫:
**25498**

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