To read, match the species on the left with the species you want to compare it to along the top. For example, to see the distance between human (Hsa) and gorilla (Ggo), first find Ggo on the left,then, since human is the first species, read down the first column to where they intersect (0.019). To see the distance between gorilla and rabbit (Ocu), go down to Ocu on the left, go to the 4^th column (since Ggo is the 4^th taxa). There you will find 0.335.  You will find that rabbit is essentially equidistant from everything else (between 28-33%).  Not surprising – it's the outgroup.  The distance measure I used was the uncorrected ‘P’, which is the default measurement in the program I used (PAUP*4.0). You will also notice a general trend as you go down, say, the first column.  Human differs from the chimps by ~ 1.6 %; gorilla by ~1.9%;then a jump to orang at ~3%.  Gibbon (Hla) ~4%.  Then a jump to ~6% for all the Old World monkeys (with a few minor exceptions), from Mmu (Rhesus) to Tob (type of langur).  Then a jump at the New World monkeys at ~11-12% (Cal to  Ase – not sure of their common names, but it is Callicebus to Alouatta). Then the Tarsiers (Tba, Tsy) at ~24%.  Then some prosimians (Ocr (galago) to Cme (bush baby)), varying from 21-28%. Then rabbit (Ocu) at ~33%.  The jumps do not represent kinds or typological distances – they represent adaptive radiations. (The data as reported by PAUP*4.0 - without rounding - can be seen at the earlier version of this page here.)

The data is from Page SL, Chiu C, Goodman M. ,Molecular phylogeny of Old World monkeys (Cercopithecidae) as inferred from gamma-globin DNA sequences.
Molecular Phylogenetics and Evolution 1999 Nov;13(2):348-59.

Similar data is found in:
Catarrhine Phylogeny: Noncoding DNA Evidence for a  Diphyletic Origin of the Mangabeys and for a  Human-Chimpanzee Clade
Molecular Phylogenetics and Evolution 2001 Jan;18(1):14-25

Toward a Phylogenetic Classification of Primates Based on DNA Evidence Complemented by Fossil Evidence 1998 Jun;9(3):585-598 (This paper is particularly interesting in that is sugests putting humans and chimpanzees in the same genus based upon the evidence.)

The data matrix along with the description of how to read it was provided to me by one of the authors. I have added the species classification information after the chart.
 
 

	Hsa	Ppa	Ptr	Ggo	Ppy	Hla	Mmu	Mni	Mne	Pcy	Tge	Lat	Msp	Mle	Cga	Cae	Epa	Cce	Cpo	Cgu	Nla	Tob	Cal	Age	Apa	Lla	Bar	Aca	Abe	Ase	Tba	Tsy	Ocr	Efu	Cme	Ocu
Hsa																																					Hsa
Ppa	0.017																																				Ppa
Ptr	0.016	0.009																																			Ptr
Ggo	0.019	0.020	0.019																																		Ggo
Ppy	0.031	0.032	0.032	0.033																																	Ppy
Hla	0.042	0.042	0.041	0.044	0.041																																Hla
Mmu	0.061	0.064	0.061	0.062	0.064	0.065																															Mmu
Mni	0.064	0.070	0.067	0.068	0.063	0.072	0.011																														Mni
Mne	0.064	0.071	0.064	0.066	0.065	0.068	0.012	0.015																													Mne
Pcy	0.066	0.069	0.068	0.069	0.067	0.070	0.023	0.022	0.024																												Pcy
Tge	0.063	0.067	0.066	0.067	0.064	0.068	0.021	0.020	0.024	0.012																											Tge
Lat	0.061	0.067	0.064	0.065	0.063	0.067	0.019	0.018	0.021	0.014	0.012																										Lat
Msp	0.064	0.068	0.066	0.067	0.064	0.069	0.022	0.018	0.027	0.022	0.020	0.021																									Msp
Mle	0.067	0.073	0.068	0.069	0.067	0.072	0.024	0.024	0.029	0.023	0.022	0.021	0.012																								Mle
Cga	0.068	0.072	0.070	0.071	0.068	0.073	0.028	0.019	0.028	0.026	0.024	0.025	0.017	0.019																							Cga
Cae	0.067	0.073	0.069	0.070	0.068	0.073	0.030	0.026	0.031	0.030	0.027	0.029	0.028	0.030	0.031																						Cae
Epa	0.056	0.064	0.061	0.061	0.057	0.064	0.018	0.020	0.021	0.022	0.020	0.016	0.020	0.021	0.022	0.014																					Epa
Cce	0.063	0.069	0.065	0.067	0.063	0.068	0.023	0.024	0.028	0.025	0.024	0.021	0.025	0.028	0.024	0.020	0.019																				Cce
Cpo	0.076	0.082	0.077	0.079	0.074	0.082	0.050	0.045	0.055	0.053	0.050	0.050	0.044	0.047	0.048	0.051	0.039	0.044																			Cpo
Cgu	0.068	0.077	0.071	0.070	0.069	0.073	0.045	0.040	0.044	0.045	0.042	0.039	0.041	0.043	0.046	0.042	0.032	0.039	0.017																		Cgu
Nla	0.072	0.080	0.074	0.075	0.071	0.078	0.047	0.043	0.047	0.047	0.046	0.045	0.046	0.050	0.049	0.045	0.034	0.043	0.040	0.033																	Nla
Tob	0.071	0.078	0.074	0.074	0.071	0.077	0.052	0.045	0.051	0.050	0.048	0.046	0.048	0.050	0.051	0.048	0.033	0.045	0.035	0.033	0.023																Tob
Cal	0.123	0.123	0.122	0.124	0.122	0.125	0.128	0.146	0.132	0.132	0.130	0.128	0.134	0.138	0.139	0.136	0.128	0.133	0.157	0.144	0.141	0.146															Cal
Age	0.117	0.117	0.116	0.117	0.115	0.117	0.123	0.133	0.130	0.127	0.125	0.122	0.125	0.131	0.128	0.134	0.118	0.126	0.136	0.132	0.126	0.131	0.071														Age
Apa	0.118	0.118	0.117	0.117	0.115	0.116	0.123	0.136	0.129	0.126	0.126	0.120	0.127	0.129	0.130	0.132	0.120	0.127	0.138	0.128	0.129	0.133	0.068	0.016													Apa
Lla	0.116	0.116	0.117	0.117	0.115	0.120	0.124	0.127	0.127	0.125	0.124	0.118	0.124	0.129	0.128	0.129	0.118	0.124	0.133	0.126	0.125	0.128	0.070	0.027	0.021												Lla
Bar	0.115	0.112	0.114	0.115	0.113	0.117	0.125	0.125	0.128	0.123	0.122	0.116	0.123	0.127	0.128	0.128	0.112	0.124	0.132	0.122	0.121	0.126	0.068	0.026	0.022	0.020											Bar
Aca	0.125	0.123	0.123	0.124	0.123	0.123	0.128	0.140	0.129	0.132	0.131	0.126	0.132	0.135	0.136	0.139	0.131	0.133	0.143	0.139	0.139	0.142	0.075	0.040	0.035	0.035	0.034										Aca
Abe	0.126	0.123	0.124	0.124	0.124	0.124	0.129	0.143	0.131	0.133	0.132	0.127	0.134	0.136	0.137	0.140	0.133	0.134	0.145	0.139	0.140	0.143	0.077	0.041	0.036	0.036	0.035	0.006									Abe
Ase	0.127	0.124	0.125	0.125	0.124	0.125	0.130	0.143	0.131	0.134	0.133	0.127	0.134	0.137	0.138	0.140	0.133	0.135	0.145	0.140	0.139	0.142	0.076	0.040	0.036	0.035	0.035	0.007	0.006								Ase
Tba	0.248	0.263	0.247	0.249	0.249	0.250	0.258	0.255	0.249	0.262	0.260	0.258	0.256	0.260	0.270	0.259	0.249	0.249	0.283	0.251	0.264	0.258	0.268	0.260	0.259	0.259	0.261	0.270	0.270	0.270							Tba
Tsy	0.248	0.259	0.246	0.250	0.249	0.248	0.256	0.255	0.248	0.259	0.259	0.257	0.255	0.260	0.270	0.258	0.249	0.252	0.284	0.255	0.262	0.258	0.267	0.260	0.259	0.259	0.261	0.268	0.269	0.268	0.032						Tsy
Ocr	0.281	0.308	0.279	0.282	0.273	0.277	0.288	0.261	0.274	0.292	0.291	0.289	0.266	0.277	0.296	0.290	0.261	0.263	0.305	0.281	0.287	0.289	0.300	0.283	0.283	0.286	0.285	0.290	0.290	0.290	0.294	0.294					Ocr
Efu	0.213	0.243	0.211	0.218	0.205	0.204	0.221	0.196	0.202	0.228	0.230	0.223	0.237	0.230	0.245	0.227	0.178	0.227	0.264	0.164	0.222	0.179	0.229	0.197	0.191	0.196	0.202	0.197	0.197	0.195	0.223	0.224	0.171				Efu
Cme	0.228	0.263	0.226	0.231	0.220	0.222	0.237	0.214	0.222	0.245	0.245	0.240	0.241	0.235	0.249	0.241	0.196	0.230	0.275	0.169	0.243	0.188	0.252	0.213	0.210	0.214	0.219	0.218	0.214	0.218	0.226	0.225	0.179	0.073			Cme
Ocu	0.334	0.376	0.332	0.335	0.331	0.331	0.334	0.313	0.317	0.337	0.336	0.335	0.313	0.327	0.341	0.333	0.319	0.315	0.346	0.323	0.339	0.334	0.350	0.344	0.342	0.341	0.345	0.352	0.355	0.355	0.344	0.342	0.347	0.281	0.288		Ocu
	Hsa	Ppa	Ptr	Ggo	Ppy	Hla	Mmu	Mni	Mne	Pcy	Tge	Lat	Msp	Mle	Cga	Cae	Epa	Cce	Cpo	Cgu	Nla	Tob	Cal	Age	Apa	Lla	Bar	Aca	Abe	Ase	Tba	Tsy	Ocr	Efu	Cme	Ocu

Species Key and overview of primate classification

Overview of primate taxonomy (with emphasis on the branches more closely related to humans - I'm so darned anthropocentric).

Primates
    Haplorhini - the "single nosed" primates
      Anthropoidea - monkeys, apes, and humans
        Catarrhini - Old World monkeys, apes, and humans
          Hominoidea - apes and humans
            Hominini - great apes and humans
              Hominina - gorillas, chimps, and humans
                Homo? - chimps and humans
                  Homo - humans
                  Pan - chimps
                Gorilla - gorillas
              Pongina - orang-utans
            Hylobatini - gibbons
          Cercopithecoidea - Old World monkeys
        Platyrrhini - New World monkeys
      Tarsiiformes - tarsiers
    Strepsirhini - the "wet nosed" primates
      Lemuriformes - lemurs
      Lorisiformes - lorises

Note - Tarsiers were previously lumped in with lorises and lemurs as prosimians, but most reasearchers now think they are closer to the monkeys, apes, and humans.
 

The species used in the study

Primates
    Haplorhini - the "single nosed" primates
      Anthropoidea - monkeys, apes, and humans
        Catarrhini - Old World monkeys, apes, and humans
          Hominoidea - apes and humans
            Hominini - great apes and humans
              Hominina - gorillas, chimps, and humans
               Homo? - chimps and humans
                  Homo - humans

             Hsa     Homo sapiens                Human
                  Pan - chimps
           Ppa     Pan paniscus                Bonobo
           Ptr     Pan troglodytes             Chimpanzee
                Gorilla - gorillas
           Ggo     Gorilla gorilla             Gorilla
              Pongina - orang-utans
           Ppy     Pongo pygmaeus              Orang-utan
            Hylobatini - gibbons
           Hla     Hylobates lar               Common gibbon
          Cercopithecoidea - Old World monkeys
           Mmu     Macaca mulatta              Rhesus macaque
                 Mni     Macaca nigra               Celebes ape
           Mne     Macaca nemestrina           Pigtail macaque
           Pcy     Papio cynocephalus          Yellow baboon
           Tge     Theropithecus gelada        Gelada
              Lat     Lophocebus aterrimus       Black mangabey
           Msp     Mandrillus sphinx           Mandrill
              Mle     Mandrillus leucophaeus      Drill
                        Cga     Cercocebus galeritus        Tana River mangabey
           Cae     Cercopithecus aethiops      Savanna monkey
           Epa     Erythrocebus patas          Patas monkey
              Cce     Cercopithecus cephus        Moustached Guenon
           Cpo     Colobus polykomos           Kings colobus (Western black and white)
           Cgu     Colobus guereza             Guereza (Eastern black and white)
           Nla     Nasalis larvatus            Proboscis monkey
              Tob     Trachypithecus obscurus     Dusky langur
        Platyrrhini - New World monkeys
              Cal     Cebus albifrons             White-fronted Capuchin
           Age     Ateles geoffroyi            Black-handed spider monkey
           Apa     Ateles paniscus             Black spider monkey
           Lla     Lagothrix lagothrich        Common wolley monkey
           Bar     Brachyteles arachnoides     Wolley spider monkey
           Aca     Alouatta caraya             Black howler
           Abe     Alouatta belzebul           Black and red howler
           Ase     Alouatta seniculus          Red howler
      Tarsiiformes - tarsiers
           Tba     Tarsius bancanus            Western tarsier
           Tsy     Tarsius syrichta            Philippine tarsier
    Strepsirhini - the "wet nosed" primates
      Lorisiformes - lorises, bush babies, and galagos.
           Ocr     Otolemur crassicaudatus     ---------------
      Lemuriformes - lemurs
              Efu     Eulemur fulvus              ---------------
              Cme     Cheirogaleus medus          Fat-tailed dwarf lemur
 

Order Lagomorpha (Rabbits, hares, and pikas)
            Ocu     Oryctolagus cuniculus       Domesticated / wild European wild rabbit