A conjugate of general formula P-L-A in which: A comprises an aminoglycoside; P comprises a peptide; and L comprises a linker that links the aminoglycoside to the peptide; wherein: (a) the conjugate has a total charge Q T of from 3 + to 10 + based on number of amine groups in A, number of lysine, arginine and histidine amino acids in P, and number of aspartic acid and glutamic acid amino acids in P, wherein Q T = N A + N P − N DE in which N A is the number of amine groups in A, N P is the number of lysine, arginine and histidine amino acids in P, N DE is the number of aspartic acid and glutamic acid amino acids in P, (b) the conjugate has a composite octanol:water partition coefficient (Log P) conjugate of from -1.5 to zero, and (c) P comprises a peptide of least 2 amino acids and not more than 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13 amino acids in which (i) N DE is less than or equal to 2, (ii) at least 25% of the amino acids are hydrophobic amino acids that are each independently selected from phenylalanine, isoleucine, leucine, methionine, valine, tryptophan, and tyrosine, and (iii) the peptide has an average Eisenberg Consensus scale hydrophobicity φ of from -0.6 to 0.2 wherein φ = 1 n ∑ i = 1 n w i in which P consists of n amino acids and w i is Eisenberg Consensus scale hydrophobicity of the i th amino acid, wherein P comprises: - the amino acid sequence RQIKIWFQNRRW as set forth in SEQ ID NO:1; - the amino acid sequence GWIRNQFRKIWQR as set forth in SEQ ID NO:81; - the amino acid sequence GWRRNQFWIKIQR as set forth in SEQ ID NO:95; - the amino acid sequence GFHGVKNLARRIL as set forth in SEQ ID NO:109; - the amino acid sequence GPWWFKWPRLI as set forth in SEQ ID NO:123; or - the amino acid sequence GWRNQIRKGWQR as set forth in SEQ ID NO:135. A comprises an aminoglycoside; P comprises a peptide; and L comprises a linker that links the aminoglycoside to the peptide; (a) the conjugate has a total charge Q T of from 3 + to 10 + based on number of amine groups in A, number of lysine, arginine and histidine amino acids in P, and number of aspartic acid and glutamic acid amino acids in P, wherein Q T = N A + N P − N DE in which N A is the number of amine groups in A, N P is the number of lysine, arginine and histidine amino acids in P, N DE is the number of aspartic acid and glutamic acid amino acids in P, N A is the number of amine groups in A, N P is the number of lysine, arginine and histidine amino acids in P, N DE is the number of aspartic acid and glutamic acid amino acids in P, (b) the conjugate has a composite octanol:water partition coefficient (Log P) conjugate of from -1.5 to zero, and (c) P comprises a peptide of least 2 amino acids and not more than 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13 amino acids in which (i) N DE is less than or equal to 2, (ii) at least 25% of the amino acids are hydrophobic amino acids that are each independently selected from phenylalanine, isoleucine, leucine, methionine, valine, tryptophan, and tyrosine, and (iii) the peptide has an average Eisenberg Consensus scale hydrophobicity φ of from -0.6 to 0.2 wherein φ = 1 n ∑ i = 1 n w i (i) N DE is less than or equal to 2, (ii) at least 25% of the amino acids are hydrophobic amino acids that are each independently selected from phenylalanine, isoleucine, leucine, methionine, valine, tryptophan, and tyrosine, and (iii) the peptide has an average Eisenberg Consensus scale hydrophobicity φ of from -0.6 to 0.2 wherein φ = 1 n ∑ i = 1 n w i - the amino acid sequence RQIKIWFQNRRW as set forth in SEQ ID NO:1; - the amino acid sequence GWIRNQFRKIWQR as set forth in SEQ ID NO:81; - the amino acid sequence GWRRNQFWIKIQR as set forth in SEQ ID NO:95; - the amino acid sequence GFHGVKNLARRIL as set forth in SEQ ID NO:109; - the amino acid sequence GPWWFKWPRLI as set forth in SEQ ID NO:123; or - the amino acid sequence GWRNQIRKGWQR as set forth in SEQ ID NO:135.